Question

In the given figure, height of the conical part is 3 cm. The radius and the height of the cylindrical part are 1 cm each. The total volume of the body is:

Options

• 9π cm³

• 18π cm³

• 2π сm³

• 4π cm³

Answer 1

2π сm³

Explanation:

Given,

Radius of cylindrical part (r) = 1 cm

Height of cylindrical part (h) = 1 cm

Height of conical part (H) = 3 cm

From figure,

Radius of conical part = Radius of cylindrical part (r) = 1 cm

Volume of body = Volume of conical part + Volume of cylindrical part

= `1/3πr^2H + πr^2h`

= `1/3π × 1^2 × 3 + π × 1^2 × 1`

= π + π

= 2π cm³