Question

the cylinder of radius 3 cm is inscribed in a sphere of radius 5 cm then the volume of cylinder is.. please reply fast and correct​

Answer 1

Answer:

Volume of cylinder is 226.29 cubic centimetre.

Step-by-step explanation:

It is given by that a cylinder of radius 3 cm is inscribed in a sphere of radius 5cm.

Radius of cylinder = 3 cm

Let h be the height of cylinder.

Centre of the sphere divides the height of the cylinder in two equal part.

using Pythagoras theorem

(h/2)^2 + (3)^2 = (5)^2

(h/2)^2 + 9 = 25

substrate 9 from both side

(h/2)^2 = 16

Taking square root of both side

h/2 = 4

Then h = 8

The height of the cylinder is 8 cm.

volume of cylinder is πr^2h

Putting the value

V= π(3)^2(8)

V= 72π

Putting the value of π is 22/7

V= 72 (22/7)

V= 226.2857

V= 226.29 cubic centimetre