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.

Question

Mathematics

Melody Graham

11 August, 07:52

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.

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Answers (1)

Know the Answer?

Presley · Answer 1

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

Step-by-step 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.

Feel free to ask for more if needed or if you did not understand something.

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 incubic kilometers.

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.