The volume of a cylinder of radius 14cm is 210cm3. What is the curved surface area of the cylinder?
A
15cm2
B
30cm2
C
616cm2
D
1262cm2
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
\(V = \pi r^2 h\)
210 = \(\frac{22}{7} \times 14^2 \times\) h
h = \(\frac{210}{22 \times 28}\)
Curved surface area = 2\(\pi\) rh
= 2 \(\times \frac{22}{7} \times 14 \times \frac{210}{22 \times 26} = 30cm^2\)
Source: Myschool Past Questions Archive (Record #26554)