Question

The height of a cone is 15cm. If its volume is 1570cm3, find the radius of the base?

Answer 1

Given height of cone = 15 cm

volume of cone = 1570 cm^3

since , we know that

volume of cone = (1/ 3) πr^2h

according to the given statement:
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(1/3) πr^2h = 1570

( 1/ 3 ) πr^2 × 15 = 1570

5 πr^2 = 1570

πr^2 = 314

r^2 = 314 × 7 / 22 => r^2 = 2198 / 22

r^2 = 99.9 = 100 ( approx.)

r =√100 = 10 cm

therefore,

radius of the base of cone = 10 cm

Answer : radius = 10 cm
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