Question

A mountain is in the shape of a cone whose height is about 4.2 kilometers and whose base radius is about 6 kilometers. Approximate the volume of the mountain in

cubic kilometers.

Answer 1

Answer: The volume of the mountain is 158.3 cubic kilometers.

Explanation:

Hi, to answer this question we have to apply the next formula:

Volume of a cone= 1/3 π x radius² x height

Replacing with the values given:

V = 1/3 π (6)² 4.2

Solving for V (volume)

V = 1/3 π (36) 4.2 = 158.3 km³

The volume of the mountain is 158.3 cubic kilometers.

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