Question

A cuboid having dimensions 16m x 11m x 8m is melted to form a cylinder of radius 4m. What is the height of the cylinder.
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Answer 1

Answer: 28 m

Step-by-step explanation:

Length of the cuboid = 16 m

Breadth of the cuboid = 11 m

Height of the cuboid = 8 m

Volume of the cuboid = $l \times b \times h$ = 16 m × 11 m × 8 m = 1408 m³

The cuboid is melted to form a cylinder. Therefore,

Volume of cuboid = Volume of cylinder

Volume of cylinder = 1408 m³

$\pi \times r^{2} \times h$ = 1408 m³

22/7 × (4 m)² × h = 1408 m³

22/7 ×  16 m² × h = 1408 m³

h = (1408 × 7) / (22 ×  16) m

h =  28 m

Therefore, the height of the cylinder is 28 m.