Question

A metal cuboid of dimension $22cm\times 15cm\times 7.5cm$ was melted and casted into a cylinder of height $14cm$. Find the radius of cylinder.

Answer 1

Given: volume of cuboid=volume of cylinder

Volume of cuboid$=lbh=22\times 15\times 7.5$

Volume of cylinder$=\pi r^{2}h=\pi \times r^2\times 14$

$22\times 15\times 7.5=\frac{22}{7}\times r^2\times 14$

$15\times 7.5=2\times r^2$

$r^2=56.25$

$r=7.5$ cm