The volume of a cone of height 9cm is 1848cm\(^3\). Find its radius. [Take \pi = 22/7]
A
7cm
B
14cm
C
28cm
D
98cm
E
196cm
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
1/3 \pir\(^2\) x 9 = 1848
3 x \pir2 = 1848 r2 = 1848/3 x 7/22 r = 14
\(\text{Volume of a cone} = \frac{1}{3} \pi r^2 h\)
\(\frac{1}{3} \times \frac{22}{7} \times r^2 \times 9 = 1848\)
\(r^2 = \frac{1848 \times 7}{22 \times 3}\)
\(r^2 = 196 \therefore r = 14cm\)
Source: Myschool Past Questions Archive (Record #23154)