The diameter of the base of a cylinder is 4 cm and its height is 14 cm.

Question:

The diameter of the base of a cylinder is 4 cm and its height is 14 cm. The volume of the cylinder is
(a) 176 cm3
(b) 196 cm3
(c) 276 cm3
(d) 352 cm3

Solution:

(a) 176 cm3

Volume of the cylinder $=\pi r^{2} h$

$=\left(\frac{22}{7} \times 2 \times 2 \times 14\right) \quad\left[d=4 \mathrm{~cm} \Rightarrow r=\frac{4}{2} \mathrm{~cm}=2 \mathrm{~cm}\right]$

$=176 \mathrm{~cm}^{3}$

 

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