The height of a cylinder is equal to its radius. If the volume is 0.216

MATHEMATICS
WAEC 2011

The height of a cylinder is equal to its radius. If the volume is 0.216 π m3. Calculate the radius.

  • A. 0.46m
  • B. 0.60m
  • C. 0.87m
  • D. 1.80m

Correct Answer: B. 0.60m

Explanation

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



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