WAEC - Mathematics (2011 - No. 18)

The height of a cylinder is equal to its radius. If the volume is 0.216 \(\pi m^3\) Calculate the radius.
0.46m
0.60m
0.87m
1.80m

Explanation

volume of cylinder = \(\pi r^2\)h

0.216\(\pi m^3 = \pi \times r^2 \times h\)

But h = r, pi cancels pi 

Then, 0.216 = r\(^3\)

r\(^3\) = 0.216

r = \(\sqrt[3]{0.216}\)

= 0.60m

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