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Arisa [49]
1 year ago
14

The volume of a certain right circular cone is 30 cubic inches. What is the volume, in cubic inches, of a second right circular

cone with half the radius and twice the height of the first cone
Mathematics
1 answer:
mrs_skeptik [129]1 year ago
3 0

Answer:

V = 15 in.³

Step-by-step explanation:

The original cylinder has radius r and height h.

V = πr²h

Its volume is 30 in.³, so

πr²h = 30 in.³

The new cylinder has radius (1/2)r and height 2h.

Its volume is

V = π(r/2)²(2h)

V = πr² × 2h/4

V = πr²h/2

πr²h is the volume of the original cylinder, and it is 30 in.³.

V = 30 in.³/2

V = 15 in.³

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