The height of a cylinder is equal to its radius. If the volume is 0.216 \(\pi\) m\(^3\). Calculate the radius.
A
0.46m
B
0.60m
C
0.87m
D
1.80m
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
volume of cylinder = \(\pi r^2\)h
0.216\(\pi\) m\(^3\) = \(\pi \times r^2 \times h\)
Since r = h,
0.216 = r\(^3\)
r\(^3\) = 0.216
r = \(\sqrt[3]{0.216}\)
= 0.6
Source: Myschool Past Questions Archive (Record #36665)