Mensuration Practice Test 10

Question : 26 of 40

Marks: +1, -0

A metallic sphere of diameter 4.2 m is melted and recast into a shape of a cone with radius 8 m. Find the height of the cone.

Solution:

Volume of the sphere =

4/3 πr^2

4/3 × {22}/7 × 2.1 × 2.1 × 2.1

= 38.808

m^3

Volume of a cone =

1/3 πr^2 h

38.808 =

1/3 × {22}/7 × 8 × 8 × h

h = 0.5788 m
h = 57.88 cm

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