Question

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.

Answer 1

Answer:

The volume of the cone in terms of π is 90.31π inches³ to the nearest hundredth.

Step-by-step explanation:

Volume = πr²(h/3) = ?

          Height = 15 inches (from the diagram)

          Find r

since we are given the circumference of the base circle = 8.5π inches => 2πr

∴ 8.5π inches = 2πr

  ( 8.5π / 2π ) inches = r

  4.25 inches = (r) Radius

Now that we have both Height (15 inches) and Radius (4.25 inches), calculate the volume.

Volume = πr²(h/3)

             = π * (4.25 inches)² * (15 inches / 3)

             = π * 18.0625 inches² * 5 inches

Volume = ‬90.3125π inches³

Rounding to the nearest hundredth ≅ 90.31π inches³