Question

10. A cylinder has a diameter of 20 cm. The area of curved surface is 1000 cm. Find
(i) the height of the cylinder correct to one decimal place.
(ii) the volume of the cylinder correct to one decimal place. (Take it = 3.14)​

Answer 1

Height of cylinder=15.9cm

And,volume of cylinder =4992.6cm3

By applying formulae of csa of cylinder and volume of cylinder, this question is solved

Thank you

Answer 2

The height of the cylinder is 15.9 cm.

The volume of the cylinder is 4992.6 cm³.

Step-by-step explanation:

Given : A cylinder has a diameter of 20 cm. The area of curved surface is 1000 cm².

To find :

(i) the height of the cylinder correct to one decimal place.

(ii) the volume of the cylinder correct to one decimal place.

Solution :

The diameter of a cylinder is 20 cm.

The radius of the cylinder is 10 cm.

The curved surface area of cylinder is

$CSA=2\pi r h$

$1000=2\times 3.14\times 10\times h$

$h=\frac{1000}{2\times 3.14\times 10}$

$h=15.9\ cm$

The volume of the cylinder is

$V=\pi r^2 h$

$V=3.14\times 10^2\times 15.9$

$V=4992.6\ cm^3$

#Learn more

A cylinder whose height is equal to its diameter has the same volume as a sphere of radius 4cm calculate the radius of the base of cylinder correct to one decimal place

https://brainly.in/question/2768145