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

15 in.

IT in

3

8.93h in³

Step-by-step explanation:

The circumference of the base of the cone is 8.5pi inches. What is the volume of the cone in terms of ne? Round to the nearest hundredth. Enter

Step 1

We find the radius of the cone

Base area = 8.5 π inches

Radius = √Area/π

Radius = √8.5 π /π

Radius = √8.5

Radius of the cone = 2.9154759474 inches

Approximately = 2.92 inches

Step 2

We find the volume of the cone

= πr²h/3

Height is not given, so we find in terms of h

= π × 2.92² × h/3

= 8.9288252005h in³

Approximately = 8.93h in³

The

answer: 15

step-by-step explanation:

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