Jane incorrectly finds the volume of the cone using the following work. Explain Jan’s error and find the correct volume AND surface area. Show all work
Answers
Answer:
V=39.25. the height is not 6.25, 6.25 is the slope. you have to use Pythagoras theorem to find the height, then you can find the volume.
The surface area of the cone shown in the figure, for which Jane incorrectly finds the volume, is 74.33 cm².
What is of volume of cone?
Volume of cones the amount of quantity, which is obtained by the solid or object in the 3 dimensional space.
Volume of cone can be given as,
[tex]V=\dfrac{1}{3}\pi r^2h[/tex]
Here, (r) is the radius of the base of the cone and (h) is the height of the cone.
The height of the cone is 6.5 cm and the radius is 2.5 cm. Put the values in the above formula,
[tex]V=\dfrac{1}{3}\pi r^2h\\V=\dfrac{1}{3}\pi (2.5)^2(6.5)\\V=\dfrac{1}{3}\pi (6.25)^2(6.5)\\V=\dfrac{40.625\pi }{3}\\V\approx42.5\rm\;cm^3[/tex]
The surface area of cone can be find out by the following formula,
[tex]A=\pi r(r+\sqrt{h^2+r^2})[/tex]
Again put the values in this formula,
[tex]A=\pi \times2.5(2.5+\sqrt{(6.5)^2+(2.5)^2})\\A=\pi \times2.5(2.5+\sqrt{48.5})\\A=\pi \times2.5(2.5+6.96)\\A=\pi \times2.5(9.46)\\A=74.33\rm\; cm^2[/tex]
Thus, the surface area of the cone shown in the figure, for which Jane incorrectly finds the volume, is 74.33 cm².
Learn more about the volume of cone here;
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What is the value of x in the diagram below?
Answers
Answer:
18
Step-by-step explanation:
The two angles are vertical angles which mean they are equal
2x = 36
Find x by dividing both sides by 2
X = 18
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Answer and Step-by-step explanation:
Definitions:
Obtuse - Angles that are greater than 90 degrees, but shorter than 180 degrees.
Acute - Angles that are less than 90 degrees but greater than 0 degrees.
Right - Angles that are exactly 90 degrees.
1. Obtuse
2. Right
3. Acute
4. Right
5. Obtuse
6. Acute
7. Obtuse
8. Acute
9. Right
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2 * blank equals 6.5
Answers
Answer:
3.25 or 3 and 1/4
Step-by-step explanation:
The algebraic equation is 2x = 6.5.
Divide by 2 to get your answer.
6.5 divided by two is 3.25.
x = 3.25
Answer:
3.25
Step-by-step explanation:
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The diameter of a bacteria species A is 1 micrometre long while bacteria B is 1 x 10^-3 the size of bacteria species A.
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Answer:
1 × 10⁻⁹ mStep-by-step explanation:
A is 1 micrometer = 1 × 10⁻⁶ m
B is 1× 10⁻³ size of A:
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Answer:
Step-by-step explanation:
-1/2(10 + 1/4)
10+1/4 = 41/4
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Carlos is extending hood backyard patio. Currently, the area of the patio is n2+16n+64. West are the new length and width of the patio, feet, if Carlos extends the length by 2 feet and the width by 2 feet
Answers
Answer:
Width = 8 feet
Length = 8 feet
Step-by-step explanation:
Carlos is extending hood backyard patio. Currently, the area of the patio is n²-16n+64.
Step
We find the Length and Width
This is done by factorising the area
Area = n² - 16n + 64 = 0
n² - 8n - 8n + 64 = 0
(n² - 8n) - (8n +64) = 0
n(n - 8) -8(n - 8) = 0
(n - 8) (n - 8) = 0
n - 8 = 0
n = 8
The length and width = 8 feet
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New length and width by extension is calculated as:
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Answers
Answer:
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square root of 24
square root of 36
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Step-by-step explanation:
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Answer:
C. Subtraction property of equality
Step-by-step explanation:
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Answer:
d) -2
Step-by-step explanation:
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Answer:
rows.
Answers
Answer:
15 rows
Step-by-step explanation:
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Answers
Answer:
The angle swept by the swing is 120 degrees
Step-by-step explanation:
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(*) multiply sign
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Answer:
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Answer:
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Answer:
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Answers
Answer
Let the first no. be 2x
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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$3.00
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Answer:
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Step-by-step explanation:
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Answer:
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Answer:
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Alexandra paid \$7$7dollar sign, 7 to park her car for 333 hours at the parking garage. The garage charges a constant hourly parking rate. Write an equation that shows the relationship between ppp, the number of hours parked, and ccc, the cost in dollars.
Answers
Answer:
c = 21 + k
Step-by-step explanation:
Alexandra paid $7dollar to park her car for 3hours at the parking garage. The garage charges a constant hourly parking rate. Write an equation that shows the relationship between p, the number of hours parked, and c, the cost in dollars.
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c = p×h + k
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Step-by-step explanation:
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(7 x6 )+(8x8)-5 gives the number of slicess were sold witch describe a part of this expression what's the sum
Answers
Answer:
"101" seems to the appropriate response. The further explanation is provided below.
Step-by-step explanation:
The given expression is:
⇒ [tex](7\times 6 )+(8\times 8)-5[/tex]
On solving the brackets, we get
⇒ [tex]42+64-5[/tex]
On applying addition, we get
⇒ [tex]106-5[/tex]
On applying subtraction, we get
⇒ [tex]101[/tex]