Question

the volume of a cylinder is 6358 cm and it's height is 28cm . find its radius and the curved surface area.

Answer 1

volume of a cylinder = πr^2h
6358cm^3 = 22/ 7 × r^2 × 28 cm
6358cm^3 × 7/22 × 28cm = r^2
72.25 cm = r^2
r^2 = 72.25cm
r = √72.25 cm
r = 8.5 cm Ans

Answer 2

Heya !!!

Here is your answer,


Given : -
Volume of cylinder = 6358 cm³
height = 28 cm


Volume of the cylinder = 6358

$=> \pi {r}^{2} h = 6358 \\ \\ => \frac{22}{7} s \times {r}^{2} \times 28 = 6358 \\ \\ => 88 \times {r}^{2} = 6358 \\ \\ => {r}^{2} = \frac{6358}{88} \\ \\ => {r}^{2} = 72.25 \\ \\ => r = \: \sqrt{72.25} \\ \\ => r = 8.5$


radius = 8.5 cm


Curved surface area of the cylinder
$= 2 \pi \: rh \\ \\ = 2 \times \frac{22}{7} \times 8.5 \times 28 \\ \\ = 1496$

Curved surface area of the cylinder = 1496 cm².



Hope it helps.