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 h

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1 answer:

Daniel [21] · Answer 1 · 2022-09-07T22:49:26+03:00

Answer:

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