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melomori [17]
3 years ago
9

Jean-Paul Sovique, the famous sculptor, is building a solid conical sculpture. He has 1,178.1 cubic feet of clay to work with, a

nd he wants his sculpture to be three times as high as its radius. What will the radius and height of his cone be?
Mathematics
1 answer:
faust18 [17]3 years ago
7 0

Answer:

Radius = 7.21 feet.

Height = 21.63 feet

- to the nearest hundredth.

Step-by-step explanation:

Let the radius be r feet, then the height will be 3r feet.

So the volume = 1,178.1 = 1/3 π r^2 h

1.178.1 = 1/3  π r^2 3r

1/3 π 3 r^3 = 1178.1

 π r^3 = 1178.1

r^3 = 1178.1/ π

r^3 =   375

r = 7.211 feet.

So the height = 3 * 7.211 ft

= 21.633 ft

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