The circumference of the base of a cylindrical vessel is 132 cm and its height is 25 cm (use pi = 22/7).

Find the (i) Radius of the cylinder (ii) Volume of the cylinder

A cylinder shape is a three-dimensional solid figure which consists of two circular bases connected with two parallel edges.

Answer: The radius of the cylinder is 21 cm and the volume of the cylinder is 34650 cm³.

Let us find the radius and volume of the cylinder with the given parameters.

Explanation:

Given that, the circumference of the base is 132 cm.

2 × π × r = 132

r = 132 / (2 × π) 

r = 66 / π  = 66 / (22/7) = (66 × 7) / 22 = 3 × 7 = 21 cm

Hence, Radius = 21 cm

Height = h = 25 cm (given)

Volume of cylinder = π r² h square units

= π (21)² (25)

= (22/7) × (21) × (21) × 25

= 22 × 3 × 21 × 25

= 34650

Hence, Volume of the cylinder = 34650 cm³

Thus, the radius and volume of the cylinder with the given parameters are 21 cm and 34650 cm³ respectively.