Question

A solid cube of side 7cm is melted to make a cone of height 5cm. Find the radius of cone

Answer 1

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Answer 2

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Side of cube = 7 cm

Volume of cube = (7)³ = 343 cm³.

Height of cylinder ( H ) = 5 cm

Let radius of cylinder (R ) = x cm.

$Volume \: of \: cylinder = \: valume \: of \: cube = \pi {r}^{2} h = 343$

$22/7 \times {x}^{2} \times 5 = 343$

${x}^{2} =(343 \times 7)/(22 \times 5) \: {x}^{2} =2182 \: cm$

$x=4.6 cm$

Radius of cone = 4.6cm

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