The height of a cylinder is 14 cm and its curved surface area is 264 c

1.	The height of a cylinder is 14 cm and its curved surface area is 264 cm2. The volume of the cylinder is A. 308 cm3 B. 396 cm3 C. 1232 cm3 D. 1848 cm3
Answer» We know that, Curved surface area of the cylinder = \(2\pi rh\) 264 = \(2\pi rh\) r = \(\frac{264\times7}{2\times22\times14}\) r = 3 cm We know that, Volume of cylinder = \(\pi r^2h\) = \(\frac{22}{7}\times3\times3\times14\) = 396 cm³ Hence, option B is correct

The height of a cylinder is 14 cm and its curved surface area is 264 cm2. The volume of the cylinder is A. 308 cm3 B. 396 cm3 C. 1232 cm3 D. 1848 cm3

Answer»

We know that,

Curved surface area of the cylinder = \(2\pi rh\)

264 = \(2\pi rh\)

r = \(\frac{264\times7}{2\times22\times14}\)

r = 3 cm

We know that,

Volume of cylinder = \(\pi r^2h\)

= \(\frac{22}{7}\times3\times3\times14\)

= 396 cm³

Hence, option B is correct