The circumference of the base of the cone is 8.5π inches. What is the volume of the cone in terms of π? Round to the nearest hundredth. Enter your answer in the box.

Question

asked Jun 17, 2021 199k views

1 Answer

Efe · Answer 1 · 2021-06-24T07:54:52+0000

Given:

Circumference of the base = 8.5π inches

Height of the cone = 15 inches

To find:

The volume of the cone.

Solution:

Circumference of the base is a circle.

Circumference = 2πr

2πr = 8.5π

Cancel the common factor π on both sides.

2r = 8.5

Divide by 2 on both sides, we get

r = 4.25

Volume of the cone =
$(1)/(3)\pi r^2 h$

$$=(1)/(3) * \pi * (4.25)^2 * 15$

$$= \pi * 18.0625 * 5$

$$=90.3125\pi$

$$=90.31\pi$

The volume of the cone is 90.31π.