Question

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

A. 28 m 

B. 14 m 

C. 21 m 

D. 32 m

Answer 1

We know that, 

Volume of cuboid = Length × Breadth × Height 

= 16 × 11 × 8 

= 1408 m³ 

Also, 

Volume of cylinder = \(\pi r^2h\) = 1408 m³

Therefore,

h = \(\frac{1408\times7}{22\times4\times4}\)

= 28 m 

Hence, option A is correct