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: Option B
Explanation
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)