The curved surface area of a right circular cylinder is 5280 cm² and its base radius is 21 cm. Find the volume (in cm ) of the cylinder. (Take π = 22/7)

Correct option is B

Given:

Curved Surface Area (CSA) = 5280 cm²

Radius, r = 21 cm

Find the volume of the cylinder.

Formula Used:

CSA of cylinder = $$2\pi r h$$​​

Volume of cylinder = $$\pi r^2 h$$​​

Solution:

Using formula of CSA; 

​$$5280 = 2 \times \frac{22}{7} \times 21 \times h \\ \ \\5280 = 132h \\ \ \\h = \frac{5280}{132} = 40 \text{ cm}$$​​

Now,

Volume of Cylinder = $$\frac{22}{7} \times 21^2 \times 40$$​​

= $$\frac{22}{7} \times 441 \times 40$$​​

= $$22 \times 63 \times 40$$​​

= 22 × 2520 = 55,440 cm³