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Question

The radius and height of a cylinder are in the ratio 5:7 and its volume is 550 cm³. Find its radius.

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Solution

Let radius (r) = 5x and height (h) = 7x.
Now. Volume = 550

rightwards double arrow space 22 over 7 cross times space 5 straight x space cross times space 5 straight x space cross times space 7 straight x space equals space 550 rightwards double arrow space space space straight x cubed equals fraction numerator 550 cross times 7 over denominator 22 cross times 25 cross times 7 end fraction

x = 1
∴ The required radius = 5x = 5 x 1 = 5cm.