Question

A particular brand of talcum powder is available in two packs, a plastic can with a square base of side $5cm$ and of height $14cm,$ or one with a circular base of radius $3.5cm$ and of height $12cm.$ Which of them has greater capacity and by how much?

Answer 1

In first case,

Side of square base $\left(a\right)=5cm.$

and height $\left(h\right)=14cm.$

$\therefore$ Volume of the first can with square base $=lenght\times breadth\times height$

$=5\times 5\times 14=350c{m}^3$

In second case,

Radius of the circular base $\left(r\right)=3.5cm.$

Height $\left(h\right)=12cm.$

$\therefore$ Volume of the second can with circular base $=\pi r^{2}h$

$=\frac{22}{7}\times 3.5\times 3.5\times 12c{m}^3=462c{m}^2$

Hence, second type of circular plastic can has greater capacity.

Difference $=462-350=112c{m}^3$