A solid metal cylinder with a 4-in. radius and a 10-in. altitude is melted and recast into solid right circular cones each with a 1-in. radius and a 2-in. altitude. The number of cones formed is
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Answer:
Given : Radius of cylinder, R = 4 in
Height of cylinder , H = 10 in
Radius of cone, r = 1 in
Height of cone, h = 2 in
No. of cones formed = vol of cylinder / vol of cone
= πR²H / 1/3 π r²h
= 3 x 4 x 4 x 10 / 1 x 1 x 2
= 480 / 2
= 240 cones
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