A rectangular strip 25 cm × 7 cm is rotated about the longer side.

Question:

A rectangular strip 25 cm × 7 cm is rotated about the longer side. Find the volume of the solid, thus generated.

Solution:

Given :

Rectangular strip has radius, $r=7 \mathrm{~cm}$

Height, $h=25 \mathrm{~cm}$

Volume of the solid, $\mathrm{V}=\pi r^{2} h$

$=\frac{22}{7} \times 7^{2} \times 25$

$=3850 \mathrm{~cm}^{3}$

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