Question

The lateral surface area of a cylinder is $94.2$ $c{m}^2$ and its height is $5$ cm .Find(i) the radius of its base and (ii) its volume.

Answer 1

Latral area $=94.2c{m}^2$

$i)$ Height $=5cm$

$94.2=\left(2\pi RH\right)$

$R=\frac{94.2}{2\pi H}$

$\pi =3.14$

$R=\frac{94.2}{\left(2\right)\left(3.14\right)\left(5\right)}$

$=\frac{94.2}{31.4}$

$3cm$

$ii)$ Volume $=\pi R^{2}H$

$=\left(31.4\right)\left(3^2\right)\left(5\right)$

$=\left(9\right)\left(5\right)\left(31.4\right)$

$=141.3c{m}^3$