Inez carved a wooden cone from a
cylindrical piece of wood. The cylindrical
piece of wood had a radius of 3 inches
and a height of 15 inches. The cone had
the same radius as the cylinder but was
2 inches shorter. About what volume of
wood did Inez remove from the cylinder to
make the cone?

Inez Carved A Wooden Cone From Acylindrical Piece Of Wood. The Cylindricalpiece Of Wood Had A Radius

Answers

Answer 1

Answer:

123 inches³

Step-by-step explanation:

Hi there!

Objective: Find the volume of the cone

We know that the cylinder had a radius of 3 inches and it had a height of 15 inches.

Because the cone had the same radius of the cylinder, we know that it has a radius of 3 inches. And because it was 2 inches shorter, it has a height of 13 inches (15-2=13).

[tex]V=\frac{1}{3} \pi r^2h[/tex]  where r is the radius of the cone and h is its height

Plug in the known information (r=3 and h=13)

[tex]V=\frac{1}{3} \pi (3)^2(13)\\V=\frac{1}{3} \pi (9)(13)\\V=\frac{1}{3} \pi(117)\\V=39\pi\\V=123[/tex]

Therefore, the Inez removed about 123 inches³ of wood from the cylinder to make the cone.

I hope this helps!


Related Questions

Plz help!!!

Which equation represents the graph?

Answers

Answer:

Option C : y=|x|-6

Step-by-step explanation:

Colton is going to invest $59,000 and leave it in an account for 10 years. Assuming
the interest is compounded daily, what interest rate, to the nearest hundredth of a
percent, would be required in order for Colton to end up with $94,000?

Answers

Answer:

4.66

Step-by-step explanation:

A=P(1+

n

r

)

nt

Compound interest formula

A=94000\hspace{35px}P=59000\hspace{35px}t=10\hspace{35px}n=365

A=94000P=59000t=10n=365

Given values

94000=

94000=

\,\,59000\left(1+\frac{r}{365}\right)^{365(10)}

59000(1+

365

r

)

365(10)

Plug in values

94000=

94000=

\,\,59000\left(1+\frac{r}{365}\right)^{3650}

59000(1+

365

r

)

3650

Multiply

\frac{94000}{59000}=

59000

94000

=

\,\,\frac{59000\left(1+\frac{r}{365}\right)^{3650}}{59000}

59000

59000(1+

365

r

)

3650

Divide by 59000

1.593220339=

1.593220339=

\,\,\left(1+\frac{r}{365}\right)^{3650}

(1+

365

r

)

3650

\left(1.593220339\right)^{1/3650}=

(1.593220339)

1/3650

=

\,\,\left[\left(1+\frac{r}{365}\right)^{3650}\right]^{1/3650}

[(1+

365

r

)

3650

]

1/3650

Raise both sides to 1/3650 power

1.000127613=

1.000127613=

\,\,1+\frac{r}{365}

1+

365

r

-1\phantom{=}

−1=

\,\,-1

−1

Subtract 1

0.000127613=

0.000127613=

\,\,\frac{r}{365}

365

r

365\left(0.0001276\right)=

365(0.0001276)=

\,\,\left(\frac{r}{365}\right)365

(

365

r

)365

Multiply by 365

0.046578745=

0.046578745=

\,\,r

r

4.6578745\%=

4.6578745%=

\,\,r

r

Convert to percent (multiply by 100)

r\approx

r≈

\,\,4.66\%

4.66%

A researcher plans to study the causal effect of a strong legal system on economy, using data from a random sample of U.S. counties. The researcher plans to regress national income per capita on whether the country has a strong legal system or not (an indicator variable taking the value 1 or 0, based on expert opinion). Do you think this regression suffers from omitted variable bias

Answers

Answer:

Based on expert opinion the regression does not suffer from omitted variable bias

Step-by-step explanation:

Based on expert opinion the regression does not suffer from omitted variable bias because its indicators taking values of 1 and 0 where 1 would represent taking action by the legal system  and 0 would represent not taking action by the legal system. as

The researcher plans to regress national income per capita based on the effect of the legal system

applying the formula for addressing omitted variable bias ( attached below )

Help? I forgot everything about this.

In the figure shown, KN is parallel to LM.


When comparing KJN and LJM, Tara states that
Explain why Tara’s statement is correct.

Answers

Answer:

Triangle KJN is just a scaled down version of triangle LJM, so the angles are the same.

Tara’s statement is correct because with Reflexive property angle KJN and angle LJM are congruent.

What is the congruence theorem?

Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.

From the given figure, KN is parallel to LM.

Here, ∠KJN = ∠LJM (Reflexive property)

Hence, Tara’s statement is correct because with Reflexive property angle KJN and angle LJM are congruent.

To learn more about the congruent theorem visit:

https://brainly.com/question/24033497.

#SPJ2

I WILL GIVE BRANLIY IF YOU ARE RIGHT

Answers

Answer:

B

Step-by-step explanation:

Answer:

9%

Step-by-step explanation:

You have 2 different savings accounts. For Account​ A, the simple interest earned after months is ​$1.90. For Account​ B, the simple interest earned after 18 months is ​$22.05. If the interest rate is 3.8% for Account A and 2.1% for Account​ B, how much is the principal in each​ account? Which account earned you the most interest the first​ month? Explain your answer.

Please help i need to turn it in soon!!

Answers

Answer:

The computation is shown below;

As we know that

The simple interest is

Simple interest = Principal × rate × time

For Account A, the principal would be

2 = Principal × 3.2% × 3

So, the principal is $20.83

For account B, the principal would be

38.50 = Principal × 2.2% × 30

So, the principal is $58.33

Now the interest for both the accounts are as follows

For account 1

= $20.83 × 3.2%

= $0.67

And, for the account 2

= $58.33 × 2.2%

= $1.28

As it can be seen that the account 2 has the highest interest

The same is to be considered

Step-by-step explanation:

How many hours of training would you need to have a salary of $2,620?

Answers

Answer:

80 Hours

Step-by-step explanation:

The Salary increases 200$ per 10 hours

Answer:

80 hours

Step-by-step explanation:

2620/122=10+70=80

HELP QUICK!!

if you know that one figure has a greater surface area than another, do you know whether it has a greater volume

Answers

Answer:

Well, it depends on their heights . If both figures have same height, then the one with greater surface area will have greater volume.

Step-by-step explanation:

Ggjjkmmmmgfffhiioklkhffffuikkkjgfffgh

What is spread of data on a dot plot?​

Answers

The spread of the data is the RANGE of the plot

Answer:

The spread is the range of the data. :)

If You write all numbers from 30 to 65 including 30 and 65 how many times would you write the digit 4?

Answers

Answer:

We write 4 times 4 because it includes 34,44,54,64in the data.

You would write 6 times the digit 4.

What are integers?

Any positive or negative number without fractions or decimal places is known as an integer, often known as a "round number" or "whole number."

Given:

You write all numbers from 30 to 65 including 30 and 65.

And in between there are following numbers that have digit 4:

34, 40, 44, 54 and 64.

That means, we wrote 6 times digit 4.

Therefore, digit 4 would be written 6 times.

To learn more about the integers;

brainly.com/question/1768254

#SPJ2

Fiona has $998 in her savings account. If the bank pays 2.5% simple interest on savings, how much does she earn in one year?

A.
$24.95

B.
$399.20

C.
$2,495

D.
$294.86

Answers

The answer would be A: $24.95
Answer is A. $24.95

I just multiple 998 by 0.025 to get 24.95

2.5%=0.025

What is the difference of 100 and 10

Answers

Answer:

The difference of 100 and 10 is 90.

Step-by-step explanation:

Answer:

the difference of 100 and 10=100-10=90

Sadie volunteers on the weekend at the Central Library. As a school project, she decides to record how many people visit the library, and where they go. On Saturday, 316 people went to The Youth Wing, 497 people went to Social Issues, and 460 went to Fiction and Literature. On Sunday, the library had 1400 total visitors. Based on what Sadie had recorded on Saturday, about how many people should be expected to go to The Youth Wing? Round your answer to the nearest whole number..​

Answers

Answer:

347

Step-by-step explanation:

Total visitors on Saturday:

316 + 497 + 460 = 1273

Proportion of people who went to The Youth Wing on Saturday:

316/1273 = 0.248

Expected number of people to visit The Youth Wing on Sunday:

1400*0.248 = 347 (rounded)

line a is perpendicular to line b. if the slope of line a is 1/8, what is the slope of line b

Answers

Answer:

-8/1

Step-by-step explanation:

Perpendicular lines have opposite slopes., meaning the signs are opposite, and the numerator and denominator are flipped.

Here's another example:

If line a had a slope of 4/5, line b would have a slope of -5/4, if the lines are perpendicular.

plz help FREE BRAINLIST AND ALOT OF POINTS!!
TRUE or False? .Probability works for random games of chance .

True
False

Answers

Answer:

True

Step-by-step explanation:

Pretend you are playing a marble game. All the marbles are in a bowl. You notice there are more green than red and blue marbles so you will be most likely to get the green marble.

A middle school has 220 students in each grade 6,7,8.The librarian wants to know which books are the most popular among the students in her school.

Answers

Answer:

?

Step-by-step explanation:

the choices, the question?

A desk that is originally $130 is discounted by 45%. What is the sale price?

Answers

Answer:

$71.5

Step-by-step explanation:

130* (1-45%)

Answer:

$71.5

HOPE THIS HELPS :)

Two planes just took off from Boston, MA. The first plane is traveling 2.5 times as fast as the second plane. After traveling in the same direction for 5 hours, they are 735 miles apart. What is the average speed of each plane? (Hint: Since they are traveling in the same direction, the distance between them will be the difference of their distances.)

Answers

Answer:

Plane 1:  rate = 245 mph

Plane 2:  rate = 98 mph

Step-by-step explanation:

Plane 2:  Let r = rate

                    d = 5r

Plane 1:    2.5r = rate

                    d = 5(2.5r)

5(2.5r) - 5r = 735

12.5r - 5r = 735

7.5r = 735

r = 98

Can someone please help me with these two I will mark u brilliant

Answers

Answer:

The first answer is $4.97. The second answer is 1 over 16.

Step-by-step explanation:

For the first question you have to subtract the money that the total price, $26.73 from the money that she has, $21.76 and you will get the find the difference that she needs.

For the second question think about it as mulitplying one quarter 4 times. So 1 multiplied four times still remains one and 4 x 4 is 16.

40 divided by 28! HURRY!!

Answers

Answer:

fraction~ 10/7

decimal~ 1.428571

mixed number~ 1 3/7

Step-by-step explanation: for decimal make sure to put the line over the 428571 because its an on going number

Which equation has infinitely many solutions?
es
A)
8x + 3
= 2x + 4
2
B)
15x + 5
= 5x + 2
3
C)
8x45
8x + 5
= 8x + 6
2
D)
9x + 6
= 3x + 2.
3
+ 2

Answers

Answer:

its c

Step-by-step explanation:

From the roof of a house the angle of depression of
the top of a tree 20 ft. high was found to be 30°. If
the distance between the house and the tree is
10√2 find the height of the house.​

Answers

Answer:

GB = CD = 20 ft, GC = BD = 10√3 ft, ∠FAC = 30°, AB = ? Or, AG = 10 ft. hence, the height of the house (AB) = 30 feet is the required answer.

Find the measure of 45.
65 = [?]
697
45
Enter

Answers

Answer:

Solution given:

<5+69=180°[co- interior angle]

<5=180°-69°=111°

<5=111°

Same side ineterior angles aree supplementary

<5+69=180<5=180-69<5=111°

Male and female teachers were asked whether they preferred to use a whiteboard or a projector while teaching. The responses are summarized in the table. Projector Whiteboard Total Male 22 10 32 Female 28 15 Total 25 75 What is the approximate probability that a teacher prefers projectors and is female?

Answers

Answer: c is the answer

C: 0.560

Step-by-step explanation:

17. Find the surface area of the sphere in terms of pi. 7 yd​

Answers

Question:-

Find the surface area of the sphere in terms of π 7 yd.

Solution:-

We know,

[tex] \dag [/tex] Formula of Surface area of the sphere is 4πr².

Radius (r) = 7 yd (Given)

Now,

Surface area of the sphere = 4 × π × (7)²

Surface area of the sphere = 4 × π × 7 × 7

Surface area of the sphere = 196π sq. yd.

The surface area of the sphere is 196 sq. yd. [Answer]

Plz need help fast.....

Answers

Answer:

See Below

Step-by-step explanation:

1: -9 Take the Square Root of 81 and then multiply by -1.

2: +- 1/3  1/3 *1/3= 1/9

3: -1  -1*-1*-1 = -1

Have a Great day!

Please can I have help on this

Answers

Answer:

64

Step-by-step explanation:

16/2

= 8

8 x 8 x (pie)

64(pie)

Answer:

From the diagram, the radius of the circle is 8cm therefore the area is

A =

[tex]a \: = \pi {r}^{2} [/tex]

= 201.1 cm^2

Pls help I’ll brainlest

Answers

13/15 because you’re just adding the ones that aren’t blue. Trust me

Answer:

(D) 13/15

Step-by-step explanation:

Well there are 15 marbles in total.

There are 2 marbles that are blue

The qusection asks for the probability of NOT a blue

so 13/15

Step by step explanation please!!

Answers

Answer:

what do you mean on the question?

Step-by-step explanation:

Which expression represents the phrase: 8 less than the product of 6 and a number, x?A. 8 − 6xB. 6x − 8C. (6 + x) − 8D. 8 − (6 + x)

Answers

Answer:

69 over 420

Step-by-step explanation:

trust me

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