Question

@SolomonZelman
Could you check my question and see if its correct?

Answer 1

@dan815
Could you check my answer and see if its correct?

Answer 2

The volume of a cylinder is 24 cubic feet. What is the volume of a cone that fits exactly inside the cylinder?

In order to figure out the volume of the cone that will fit exactly inside the cylinder, we must first examine the formula for both the cylinder and cone. Here they are:

Cylinder: V = (3.14) (r^2)(h)
Cone: V = 1/3 (3.14) (r^2) (h)

As you can see, the formula's for finding a cylinder and a cone are pretty similar, except for the fact the cone is 1/3 the size of the cylinder. See where I'm going here. As you can see the volume of the

Answer 3

?

Answer 4

What did you come up with?

Answer 5

The volume of a cone is 1/3 the volume of a cylinder.

Answer 6

Just multiply 1/3 to 24

Answer 7

Sorry it didn't come up.
As you can see the volume of the cone is 1/3 the volume of the cylinder, so in order to find the volume of the cone we need to take the volume of the cylinder and divide it by three, and since we have the volume of the cylinder, we can apply this to our problem.

24 / 3 = 8

As you can see, 24 divided by three equals 8, which means that the volume of the cone that fits exactly inside the cylinder is 8.

Answer 8

Yep, you got it.

Answer 9

Thanks for your help!

Answer 10

\(\sf 24 \times \dfrac{1}{3} \rightarrow 24 \div 3 \rightarrow 8\)

Answer 11

No problem.

Answer 12

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