Question

Find the volume of a right circular cylinder whose height is 100 cm and circumference of a base is 44 m.
1. 114 m³
2. 154 m³
3. 124 m³
4. 104 m³

Answer 1

Correct Answer - Option 2 : 154 m³

Given

Height of cylinder = 100 cm

Circumference of base of cylinder = 44 m

Formula used

Volume of cylinder = πr²h

Where r and I are radius and height respectively

Circumference of circle = 2πr

Calculation

2πr = 44

⇒ 2 × (22/7) × r = 44

⇒ r = (44 × 7)/(2 × 22)

⇒ r = 7

Height of cylinder = 100 cm i.e. 1m 

Volume of cylinder = (22/7) × 7 × 7 × 1

⇒ 154 m³

∴ Volume of cylinder is 154 m³