Question

If the lateral surface of a cylinder is $94.3{cm}^2$ and its height is $5cm$, then find its volume (Use $\pi =3.14$)

• A. $141.3{cm}^3$
• B. $241.3{cm}^3$
• C. $131.3{cm}^3$
• D. $121.3{cm}^3$

Answer 1

Answer: (A)

$141.3{cm}^3$

Curved Surface Area of a Cylinder $=2\pi Rh$

Hence, CSA of the given cylinder $=2\times 3.14\times r\times 5=94.2sqcm$

$=>r=3cm$

Volume of a Cylinder $=\pi R^{2}h$

Hence, volume of the given cylinder $=3.14\times 3\times 3\times 5=141.3{cm}^3$