Question

Find the volume of the cylinder if the circumference of the cylinder is 132 cm and height is 25 cm.

The circumference of the base of a cylindrical vessel is 132 cm and its height is 25 cm. Find the volume of the cylinder.

Answer 1

Given:

Circumference of the base of the cylinder = 132 cm and height h = 25 cm.

Circumference of base of cylinder = 2πr

⇒ 132 = 2πr

⇒ 132 = `2 xx 22/7` r 

⇒ r = `(132 xx 7)/(2 xx 22)`

⇒ r = `924/44`

⇒ r = 21 cm

Height = 25 cm

Volume = πr²h

= `22/7 xx 21 xx 21 xx 25`

= 22 × 3 × 21 × 25

= 34650 cm³