If the surface area of the cone below is 628.32 m², find its volume.
I WILL MARK BRAINLEIST IF CORRECT AND 20 POINTS
Answers
Answer:
1586.91 m³
Step-by-step explanation:
From the diagram attached,
Applying,
A = πrl.................. Equation 1
Where A = surface area of the cone, l = slight heigth of the cone, π = pie.
make l the subject of the equation,
l = A/πr.............. Equation 2
From the question,
Given: A = 628.32 m², π = 3.14, r = 8 m
Substitite these values into equation 2
l = 628.32/(3.14×8)
l = 25 m
But,
l² = h²+r².................... Equation 3
Where h = height of the cone.
h = √(l²-r²)
h = √(25²-8²)
h = √(625-64)
h = √(561)
h = 23.69 m
Also Applying,
V = 1/3πr²h
Where V = volume of the cone.
Therefore,
V = (3.14×8²×23.69)/3
V = 1586.91 m³
Related Questions
Please help me with this:
The gas meter readings at the beginning and end of a period were:
6
4
9
6
6
7
8
5
The cost of the gas is 13p for each unit.
There is also a fixed charge of £21.45.
Calculate the cost of the gas.
You must show your working.
Answers
Answer:
£59.02
Step-by-step explanation:
find the amount of gas used: 6785-6496 = 289find the cost of the gas by multiplying the 289 by 13p = 3757p = £37.57add the cost of the gas to the fixed delivery charge £37.57+£21.45 = £59.02The number of units in meter readings will be 289. Then the cost of the gas will be £59.02.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Let 'x' be the number of units and 'y' be the total cost. Then the equation is given as,
y = 0.13x + 21.45
The number of units is calculated as,
x = 6785 - 6496
x = 289
The cost of the gas will be given as,
y = 0.13(289) + 21.45
y = 37.57 + 21.45
y = £59.02
The number of units in meter readings will be 289. Then the cost of the gas will be £59.02.
More about the linear equation link is given below.
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Find the surface area of the triangular prism
Answers
Answer:
96 i think
Step-by-step explanation:
Answer:
96 I think
Step-by-step explanation:
what is the solution for
StartFraction 1 Over x EndFraction = StartFraction x + 3 Over 2 x squared EndFraction?
Answers
9514 1404 393
Answer:
x = 3
Step-by-step explanation:
We want the solution to ...
[tex]\dfrac{1}{x}=\dfrac{x+3}{2x^2}\\\\2x=x+3\qquad\text{multiply by $2x^2$}\\\\\boxed{x=3}\qquad\text{subtract $x$}[/tex]
Answer:
Solution :-We have to find the value of x in
[tex] \sf \: \dfrac{1}{x} = \dfrac{x + 3}{2x {}^{2} } [/tex]
On cross multiplication
2x² × 1 = x × (x + 3)
2x² = x² + 3x
2x² - x² = 3x
x² = 3x
x × x = 3 × x
x = 3
Segment AB is tangent to C. Find AB.
6 + 6
AB=
Answers
Which statements describe one of the transformations performed on f(x) = x2
to create g(x)= 3(x+ 5)2 -2 ? Choose all that apply.
Answers
Given:
The given functions are:
[tex]f(x)=x^2[/tex]
[tex]g(x)=3(x+5)^2-2[/tex]
To find:
The transformations performed of f(x) to create g(x).
Solution:
The translation is defined as
[tex]g(x)=kf(x+a)+b[/tex] .... (i)
Where, k is stretch factor, a is horizontal shift and b is vertical shift.
If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
We have,
[tex]f(x)=x^2[/tex]
[tex]g(x)=3(x+5)^2-2[/tex]
Using these two function, we get
[tex]g(x)=3f(x+5)-2[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]k=3,a=5,b=-2[/tex]
It means the graph of f(x) is vertically stretched with a scale factor of 3, shifts 5 units left and 2 units down to get g(x).
Therefore, the correct options are A and C.
If the sequence below is an arithmetic sequence then what are the next two numbers?
Sequence: 3.9,
Answers
4. What is the greatest common factor of 12
and 30?
Answers
Answer:
6
Step-by-step explanation:
Solve for x
Solve for x give that the segments ST and SU are both
tangent to the circle.
T
7X-3
Submit
5x+1
U
Answers
Answer:
2
Step-by-step explanation:
ST and SU are tangents to the [tex] \odot L[/tex] from the point S to the points T and U respectively. Measures of the tangents drawn from external point to a circle are equal. [tex] \therefore ST = SU[/tex] [tex] \therefore 7x - 3= 5x+1[/tex] [tex] \therefore 7x - 5x=3+1[/tex] [tex] \therefore 2x=4[/tex] [tex] \therefore x=\frac{4}{2}[/tex] [tex] \therefore x={2}[/tex]PLEASE HELP!!
with
5,6,7
z’s options are 4,22,8,11
i really need help i’ve been stuck in this for way to long
Answers
=======================================================
Explanations:
Problem 5)
Assuming HEFG is a parallelogram, this means the opposite sides are the same length.
EH = GF
x-3 = 4x-15
x-4x = -15+3
-3x = -12
x = -12/(-3)
x = 4
--------------------------
Problem 6)
We'll use the same idea from problem 5. The opposite sides EF and HG are congruent
EF = HG
3y = 3x+12
3y = 3*4+12
3y = 24
y = 24/3
y = 8
--------------------------
Problem 7)
For any parallelogram, the diagonals always cut each other in half.
Therefore HK = 2z+3 is exactly half that of segment HF = 22
Put another way, HF is twice as long as HK
2*(HK) = HF
2*(2z+3) = 22
4z+6 = 22
4z = 22-6
4z = 16
z = 16/4
z = 4
The diameter of a cone-shaped storage tank is 14 feet and it's height is 9 feet. Find the volume of liquid the tank can hold. Round your answer to the integer, if necessary. Use the approximate of value of /pi , that is 3.14.
Answers
Answer:
Volume of cone shape tank = 461.58 ft³ (Approx.)
Step-by-step explanation:
Given:
Diameter of cone shape tank = 14 feet
Height of of cone shape tank = 9 feet
Find:
Volume of cone shape tank
Computation:
Radius of cone = 14 / 2
Radius of cone = 7 feet
Volume of cone = (1/3)(π)(r²)(h)
Volume of cone shape tank = (1/3)(3.14)(7²)(9)
Volume of cone shape tank = (1/3)(3.14)(49)(9)
Volume of cone shape tank = 1,384.74 / 3
Volume of cone shape tank = 461.58 ft³ (Approx.)
Which inequality’s have the same solution set graphed on the number line? Select two options.
Answers
Answer:
x < -4-4 > xExplanation:
Both of these inequalities are describing that the value of x is less than negative four, as observable by the solution set graphed on the number line.
I need the answer pls I will mark brainlist just answer this
Answers
Answer:
The first one is B and the second is C :)
Answer:
C. 12 and A.5
Step-by-step explanation:
The number of people is 12 because 7 people who got 9 and 5 people who got ten ASSUMING this test means at least is more than or equals to
6-1 = 5
Given the point (18, -10), apply the rule and tell the image after the translation as an ordered pair with no spaces.
(x,y) --> (x - 11, y - 9)
Answers
Answer:
The answer is (7,-19)
Step-by-step explanation:
Remember, 18 is x, and -10 is y. The rule says to subtract 11 from 18, which would be 7. For y, you add -9 to -10, which would be -19.
Therefore, your answer should be (7,-19)
Hope this helps!
By applying the rule and image after the translation as an ordered pair with no spaces is the point (7, -19).
What is translation?Translation is a term used in geometry to describe a function that moves an object a certain distance. The object is not altered in any other way.
Given point = (18, -10)
(x, y) --> (x - 11, y - 9)
(18, -10) = (18 - 11, -10 - 9)
New point = (7, -19)
Hence, by applying the rule and image after the translation as an ordered pair with no spaces is the point (7, -19).
Learn more about translation here
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please Help me on this
Answers
A laptop computer is purchased for $3900. Each year, its value is 75% of its value the year before. After how many years will the laptop computer be worth $700 or less?
Answers
Answer:
1200*0.70=840
840*0.70=588
588*0.70=411.60
411.60*0.70=288.12
What are the solutions to the equation x^2-4x-5=0?
Answers
Answer:
x = 5 , − 1
Step-by-step explanation:
Find the least common denominator for these fractions. 2/7 and 2/5
Answers
Answer:
Step-by-step explanation:
the least common denominator for the fraction is
7*5=35
since there is no any number that ca divide both the number so multiply them.
A band of 17 pirates stole a sack of gold coins. When they tried to divide the fortune into equal portions, 3 coins remained. In the ensuing brawl over who should get the extra coins, one pirate was killed. The wealth was redistributed, but this time an equal division left 10 coins. Again an argument developed in which another pirate was killed. But now the total fortune was evenly distributed among the survivors. What was the least number of coins that could have been stolen
Answers
Answer:
The least number of coins that could have been stolen is 3,930.
Step-by-step explanation:
In the beginning, there are N coins to be distributed among 17 pirates, and we know that if we divide evenly these coins, there are 3 coins remaining.
Then we can write the total number of coins as a multiple of 17 plus 3.
N = 17*k + 3
where k is an integer.
After that, a pirate is killed, so now we have 16 pirates, and now there are 10 coins left, so now we can write N as a multiple of 16 plus 10:
N = 16*j + 10
where j is an integer.
Finally, having 15 pirates, the total number of coins can be divided evenly, then N is a multiple of 15
N = 15*m
where m is an integer.
So we have these 3 equations:
N = 17*k + 3
N = 16*j + 10
N = 15*m
So we can express equations like:
15*m = 16*j + 10
15*m = 17*k + 3
Where we need to find solutions such that both of these variables are integers.
For the first one we can write:
15*m - 16*j = 10
One way to do it, is to write this like a linear equation:
m = (16*j + 10)/15
Graph this, and find the pairs of points in the line that have bot integer values, or we can just find some values of j such that:
16*j + 10 is a multiple of 15.
For example, with j = 5 we have:
m = (16*5 + 10)/15 = 6
so j = 5 and m = 6 is a possible solution.
Now if we use m = 6 in the other equation:
15*m = 17*k + 3
we can see if k is also an integer:
k = (15*m - 3)/17
replacing m by 6:
k = (15*6 - 3)/17 = 5.1
This solution does not work.
Let's find others:
if j = 20 (at this point we already know that the possible values of j "jump" by 15 units, like 5 + 15 = 20) then:
m = (16*20 + 10)/15 = 22
Then:
j = 20 and m = 22 is another solution.
Same as before, let's use m = 22 in the equation for k:
k = (15*22 - 3)/17 = 19.2
Let's find another solution for m.
if j = 35
m = (16*35 + 10)/15 = 38
Using this value of m in the k equation we get:
k = (15*35 - 3)/17 = 33.4
Let's find another solution for m.
if we take j = 50 we get:
m = (15*50 + 10)/15 = 54
Using this in the k equation we get:
k = (15*54 - 3)/17 = 47.5
Eventually, for j = 5 + 15*16 = 245 we get: (arrived by iteration, just try each time using the previous value of j plus 15)
m = (16*245 + 10)/15 = 262
replacing this in the k equation we can find:
k = (15*262 - 3)/17 = 231.
So the first solution is:
j = 245, m = 262, k = 231
Then:
N = 262*15 = 3,930
The least number of coins that could have been stolen is 3,930.
The number of blue fish to red fish in a tank is
proportional. If there are 34 blue fish and 50
red fish in Tank A, how many blue fish are in
Tank B if there are 75 red fish?
Answers
If there is 34 to 50 blue to red fish in tank A. Then tank B is 51 to 75. Because 75 is 1.5 times larger than 50 you have to multiply 34 by 1.5 to get 51.
Which function represents the area of the rectangle? 6x2 – 8x + 36 6x2 – 27x + 36 6x2 – 35x + 36 6x2 + 35x + 36
Answers
Answer:
[tex]Area = 6x^2 - 35x + 36[/tex]
Step-by-step explanation:
Given
[tex]g(x)=3x-4[/tex]
[tex]f(x)=2x-9[/tex]
Required
The area
This is calculated as:
[tex]Area = f(x) * g(x)[/tex]
[tex]Area = (3x -4) * (2x - 9)[/tex]
Open bracket
[tex]Area = 6x^2 - 27x - 8x + 36[/tex]
[tex]Area = 6x^2 - 35x + 36[/tex]
Answer:
6x2 – 35x + 36
Step-by-step explanation:
I GIVE BRAINLIEST!!! Derek wants to save up for a new baseball glove. The price of the glove with tax is $385. If he can save $65 per month , how many months will it take him to save up for the glove?
Answers
Answer:
6
Step-by-step explanation:
385/65= about 6 but technically its like 5.92307...
Step-by-step explanation:
Price of glove with tax = 385
Money saved per month = 65
Months needed for Derek to save enough money
= 385/65
= 5.923 months
The _________is where the line crosses the vertical axis.
Answers
Answer:
The Y intercept is the point where your line crosses the y-axis.
and always Does.... Well Some time it Dosen't, If It is A different Point
2/3w = 3/4 what’s the equation?
Answers
Answer: w=9/8
Step-by-step explanation:
Answer:
w=9/8
Hope I got it right
PLS HELP!! need the answer asap
Answers
Solve similar triangles (advanced)
Solve for X
X=?
Answers
Step-by-step explanation:
if x is from B to D then it's 12-2= 10
x= 10
PLS ITS URGENT ILL GIVE 70 POINTS AND BRAINLIEST
ANY TROLL ANSWERS WILL GET REPORTED
Mr. and Mrs. Pinkerton have four boys. Every time people notice this they comment about the odds of this happening. The Pinkertons decide to set up a simulation with 10 trials to
determine the probability.
Answer these three questions with 1-2 sentences
a. What simulation could be used to represent the likelihood of having a boy or a girl?
b. Which outcome represents having a boy? Which outcome represents having a girl?
c. How should the simulation be designed in order to account for four different children?
Answers
Answer:
a. Flipping a coin
b. heads ⇒ boy tails ⇒ girl
c. Flip 4 coins (1 for each child) ten times
Step-by-step explanation:
Have a nice day/night :D
What is the volume, in cubic inches, of a cylinder with a height of 10 inches and a base radius of 2 inches, to the nearest tenths place?
Answers
Answer:
125.7 inches cubed.
Step-by-step explanation:
πr^h is the formula for volume of cylinder.
I NEED HELP ASAP PLEASE
Answers
Answer:
A and E
Step-by-step explanation:
B and D is unchangeable, species of bears and types of vegetables that existed in the world never changed.
C only consist of one data, temperature of Chicago at noon yesterday only.
What is the value of l-6l - l-8l
Answers
Answer:
-2
Step-by-step explanation:
absolute value is the distance from zero. it will never be negative. so -6 is 6 away from zero, -8 is 8 away from zero. you can just take off the negative sign and use the number by itself.
|-6| - |-8|
6 - 8
-2
Answer:
[tex] - 2[/tex]
Step-by-step explanation:
[tex]|−6|−|−8|[/tex]
Simplify each term.
The absolute value is the distance between a number and zero. The distance between −6 and 0 is 6.
[tex]6−|−8|[/tex]
The absolute value is the distance between a number and zero. The distance between −8 and 0 is 8.
[tex]6−1 \times 8[/tex]
Multiply −1 by 8.
[tex]6−8[/tex]
Subtract 8 from 6.
[tex] - 2[/tex]
Hope it is helpful....Venny Had 5 friends she ate 3 of them. The rest ran away. How much friends dose she have now?