Question

A sphere of radius 21 cm is recast into right circular funnel cone find the height

Answer 1

Given, radius of sphere = 21cm

now since they are reshaping the sphere into cone therefore there volume will be equal.

volume of sphere = 4/3 π r³

= 4/3 ×22/7 × 21³

= 88/21 ×21 ×21 ×21

= 88 × 21 × 21

= 38808 cm³

therefore, volume of cone = 38808 cm³

Volume of cone = 1/3 × π × r² × h/3

38808 = 1/3 × 22/7 × r² × h/ 3

h × r² = 111132

h = 111132/r²

putting value of r = 21cm

height (h) = 252cm

therefore, height is 252cm

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