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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. - Mathematics

Sum

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.

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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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APPEARS IN

RD Sharma Class 8 Maths
Chapter 22 Mensuration - III (Surface Area and Volume of a Right Circular Cylinder)
Exercise 22.2 | Q 41 | Page 27
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