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

Correct answer is B

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

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

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

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

\(r^2 = 196 \therefore r = 14cm\)