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Question
A hollow garden roller, 63 cm wide with a girth of 440 cm, is made of 4 cm thick iron. Find the volume of the iron.
Solution
Here, R = Outer radius
r = Inner radius
t = Thickness = 4 cm
w = Width = 63 cm
Girth = 440 cm = 2πR
\[R = \frac{440}{2 \times \frac{22}{7}} = 70cm\]
r = R − t = 70 cm − 4 cm = 66 cm
Volume of the iron = π (R2 − r2) w = \[\frac{22}{7}\] − (702 − 662) − (63) = 107712 cm3
Hence, volume of the iron is 107712 cm3.
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