Question

Stumped on this one question:

Any advice?: Given a soda can with a volume of 15 and a diameter of 2, what is the volume of a cone that fits perfectly inside the soda can?

Answer 1

Hello there.

Stumped on this one question:

Any advice?: Given a soda can with a volume of 15 and a diameter of 2, what is the volume of a cone that fits perfectly inside the soda can?

V = 5

Answer 2

You are given a soda can with a volume of 15 and a diameter of 2. You are asked what is the volume of a cone that fits perfectly inside the soda can.

Soda can is shaped like a cylinder so V =
`\pi`(d²/4)h and the cone is V =
`\pi`(d²/12)h.

15 =
`\pi`(2²/4)h
h = 4.77

V =
`\pi`(2²/12)(4.77) since the cone and the cylinder have the same base and height
V = 5