17. A hemisphere of lead of radius 7 cm is cast into a right circular cone of height 49 cm. Find the radius of the base of the cone

Step-by-step explanation:

Given

Hemisphere

Cone

Required

Determine the radius of the cone

First, we calculate the volume (V1) of the hemisphere.

Substitute 7 for r

Volume (V2) of a cone is:

Because the lead is cast into a cone, then they have the same volume.

So, we have:

Substitute 49 for h

Divide both sides by 49

Hence, the radius of the cone is 3.74cm

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step-by-step explanation:

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