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?
1 answer:
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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