Question

A solid cone of height 8cm and base radius of 6 cm is melted and recast into identical cones each of height 2cm and diameter 1 cm find the number of cones formed

Answer 1

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Find volume of the big cone:

Volume of a cone = 1/3 π r² h

Volume of big solid cone = 1/3π(6)²(8) = 96 π cm³

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Find radius of the small cone:

Radius = Diameter ÷ 2

Radius = 1 ÷ 2 = 0.5 cm

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Find volume of the small cone:

Volume of the small cone = 1/3π(0.5)²(1) = π/12 cm³

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Find number of small cones:

96 π ÷  π/12 = 1152

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Answer: It can formed 1152 of the small cones.

Answer 2

Answer:

576

formula used volume of cone