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The volume of a cone of height 9cm is 1848cm $^3$ . Find its...

The volume of a cone of height 9cm is 1848cm $^3$ . Find its radius. [Take π = 22/7]

A.

7cm

B.

14cm

C.

28cm

D.

98cm

E.

196cm

View answer & explanation

Correct answer is B

1/3 πr $^2$ x 9 = 1848
3 x πr2 = 1848 r2 = 1848/3 x 7/22 r = 14

$\text{Volume of a cone} = \frac{1}{3} \pi r^2 h$

$\frac{1}{3} \times \frac{22}{7} \times r^2 \times 9 = 1848$

$r^2 = \frac{1848 \times 7}{22 \times 3}$

$r^2 = 196 \therefore r = 14cm$

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