Question

A cuboid is melted to form a cylinder. The dimensions of cuboid are 44 × 30 × 15 cm The height if the cylinder is 28 cm. Find the radius of the cylinder.

Answer 1

Volume of cuboid = Volume of cylinder
lbh = πr²h
44×30×15 = 22/7 × r² × 28
r² = 44 × 30 × 15 /22 × 4
r² = 15 × 15
r² = 15²
r = 15

Therefore,the radius of the cylinder is 15 cm

Answer 2

The volume of cuboid and cylinder will be same.
So,
lbh = πr²h
44×30×15 = 22/7 r² × 28
r² = 44×30×15/22×4
r² = 15 × 15
r² = 15²
r = 15
radius of the cylinder is 15 cm