Question

Q.9 The curved surface area of a right circular cylinder is 264 cm2 and its volume is 924 cm3 , find the height of the cylinder​

Answer 1

EXPLANATION.

Curved surface area of a right circular cylinder = 264 cm².

its volume = 924 cm³.

As we know that,

Formula of :

Volume of a cylinder = πr²h.

Curved surface area of cylinder = 2πrh.

Using this formula in the equation, we get.

⇒ 2πrh = 264. - - - - - (1).

⇒ πr²h = 924. - - - - - (2).

Divide equation (1) and (2), we get.

⇒ 2/r = 264/924.

⇒ 2/r = 1/3.5

⇒ r = 7 cm.

Put the value of r = 7 cm in equation (1), we get.

⇒ 2πrh = 264.

⇒ 2 x 22/7 x 7 x h = 264.

⇒ 2 x 22 x h = 264.

⇒ 44 x h = 264.

⇒ h = 6 cm.

Radius of the cylinder = 7 cm.

Height of the cylinder = 6 cm.

Answer 2

Answer:

Step-by-step explanation:

As given the curved surface area is 264

Then curved surface area formula is 2πrh

and the volume of cylinder is 924

as we know the formula of the volume is πr^2h

then divide volume by surface area then we get radius r.

(πr^2h)/(2πrh)= 924/264

then r/2 = 7/2

then r=7

then substitute r value in curved surface area to get height

2×(22/7)×7×h=264

h=(264)/44

h=6