Question

A heap of sand in the form of cone is formed. Height of cone is 100 cm and volume of sand is 18.48 m³.find the radius.
1. 1.2 m
2. 2.1 m
3. 3.4 m
4. 4.2 m

Answer 1

Correct Answer - Option 4 : 4.2 m

Given

Height of cone = 100 cm

Volume of sand = 18.48 m³

Formula used

Volume of cone = (1/3)πr²h

Where r and h are radius and height of cone respectively

Height = 100 cm or 1 m

Calculation

18.48 = (1/3) × (22/7) × r² × 1

⇒ √(18.48 × 7 × 3)/(22) = r

⇒ 4.2 m = r

∴ Radius of heap of sand is 4.2 m