Question

Reasoning A cone with radius 6 and height 12 has its radius quadrupled. How many times

greater is the volume of the larger cone than the smaller cone? Use pencil and paper. Explain

how the volume of the cone would change if the radius were divided by four.

The volume of the larger cone is

times greater than the volume of the smaller cone.

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Answer 1

Explanation:

Reasoning A cone with radius 6 and height 12 has its radius quadrupled. How many times

greater is the volume of the larger cone than the smaller cone? Use pencil and paper.

Volume of a cone = πr² h/3

r = 6, h = 12

= π × 6² × 12

= 452.39 cubic units