Question

The volume of a cylinder of height 4 cm is 154 cm³ Find the circumference of its base. 

Answer 1

Given:

Volume V = 154 cm³, height h = 4 cm.

Use V = πr²h.

Substitute values:

= π r² · 4 

= 154 ⇒ π r²

= `154/4`

= 38.5

Take π = `22/7`

r² = 38.5 × `22/7`

r² = 12.25

r = `sqrt12.25`

= 3.5 cm

Circumference of base = 2πr

= 2 × `22/7` × 3.5

= 22 cm.