Question

cone is 8.4 cm high.and the radius of its base is 2.1 cm.it is melted and recasted into a sphere.find the radius of the sphere.?

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Answer 1

Hii friend,

Height of cone = 8.4 cm

Radius of cone = 2.1 cm

VOLUME OF CONE = 1/3 πr²h = 1/3 × 22/7 × 2.1 × 2.1 × 8.4 = 22 × 0.3 × 2.1 × 8.4 = 116.424/3 = 38.8 cm³

Volume of cone = Volume of sphere

38.8 = 4/3 πR³

4/3 × 22/7 × R³ = 38.8

R³ = 38.8 × 21/88

R³ = 814.8/88

R³ = 9.25

R =3✓9.25


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