Question

volume of cylinder is 6358cm and its height is 28cm . find its radius and curved surface area.
volume of a cylinder is 6358 cm cube and its height is 28 CM so find its radius and the curved surface area

Answer 1

Vol. of cylinder=6358cm^3
h=28cm
r=?
CSA=?
Vol. of cylinder=πr^2h
6358=22/7×r^2×28
r^2=72.25
r=8.5cm
CSA of cylinder=2πrh
=2×22/7×8.5×28
=1496cm^2

Answer 2

Answer:

The radius of the cylinder is 8.5 cm.

The curved surface area of the cylinder is 1496 centimeter square.

Step-by-step explanation:

Given : Volume of cylinder is 6358 cm cube and its height is 28 cm.

To find : Its radius and curved surface area?

Solution :

Volume of the cylinder is $V=\pi r^2 h$

Where, V is the volume = 6358 cm cube

h is the height = 28 cm

r is the radius

Substitute the values,

$6358=\frac{22}{7}\times r^2\times 28$

$6358=22\times 4\times r^2$

$r^2=\frac{6358}{88}$

$r=\sqrt{72.25}$

$r=8.5 cm$

The radius of the cylinder is 8.5 cm.

The curved surface area of the cylinder is $CSA=2\pi rh$

r=8.5cm , h=28 cm

Substitute the value,

$CSA=2\times \frac{22}{7}\times 8.5\times 28$

$CSA=2\times 22\times 8.5\times 4$

$CSA=1496cm^2$

The curved surface area of the cylinder is 1496 centimeter square.