A metal cuboid of dimensions 22 cm × 15 cm × 7.5 cm was melted and c

1.	A metal cuboid of dimensions 22 cm × 15 cm × 7.5 cm was melted and cast into a cylinder of height 14 cm. What is its radius ?
Answer» Dimensions of the metal cuboid = 22 cm × 15 cm × 7.5 cm Height of the cylinder, h = 14 cm Cuboid made as cylinder ∴ Volume of cuboid = Volume of cylinder lbh = 2πr²h ⇒ 22 × 15 × 7.5 = 22/7 × r² × 14 ⇒ r² = 7.5 × 7.5 r = 7.5 cm

A metal cuboid of dimensions 22 cm × 15 cm × 7.5 cm was melted and cast into a cylinder of height 14 cm. What is its radius ?

Answer»

Dimensions of the metal cuboid

= 22 cm × 15 cm × 7.5 cm

Height of the cylinder, h = 14 cm

Cuboid made as cylinder

∴ Volume of cuboid

= Volume of cylinder lbh = 2πr²h

⇒ 22 × 15 × 7.5 = 22/7 × r² × 14

⇒ r² = 7.5 × 7.5

r = 7.5 cm