Question

Find the volume of a right circular cylinder whose curved surface area is 2640 cm^2 And the circumference of its base is 66 cm.

Answer 1

We know, perimeter or circumference is

P = 2 · π ·r
r = P /(2 · π) = 66 / (2 · π) = 10.50 cm

Now height of the cylinder using the formula for surface area of a cylinder.

SA = P · h
h = SA / P = 2640 / 66 = 40 cm

Therefore, The volume of the cylinder is
V = π· r2· h
V = π· 10.502· 40
V =13854.4 cm3