If the lateral surface of a cylinder is 9.42 cm2 and its height is 5 cm, find :
(i) radius of its base
(ii) volume of the cylinder [Use π = 3.14]
Answers
Given : The lateral surface of a cylinder is 9.42 cm² and its height is 5 cm.
Let r be be the radius.
We have , Lateral surface of the cylinder = 94.2 cm² and height of the cylinder,h = 5 cm
(i) Lateral surface of the cylinder = 2πrh
2 πrh = 94.2
⇒ 2 x 3.14 x r x 5 = 94.2
⇒ 3.14 × 10 × r = 94.2
⇒ 31.4 × r = 94.2
⇒r = 94.2/31.4
⇒ r = 3 cm
Radius of its base = 3 cm.
(ii) Volume of the cylinder ,V = πr²h
V = (3.14 x 3² x 5)
V = 3.14 × 9 × 5
V = 3.14 × 45
V = 141.3 cm³
Volume of the cylinder = 141.3 cm³
Hence, the radius of its base is 3 cm and Volume of the cylinder is 141.3 cm³.
HOPE THIS ANSWER WILL HELP YOU…..
Similar questions :
A soft drink is available in two packs – (i) a tin can with a rectangular base of length 5 cm and width 4 cm, having a height of 15 cm and (ii) a plastic cylinder with circular base of diameter 7 cm and height 10 cm. Which container has greater capacity and by how much?
https://brainly.in/question/15911789
A patient in a hospital is given soup daily in a cylindrical bowl of diameter 7 cm. If the bowl is filled with soup to a height of 4 cm, how much soup the hospital has to prepare daily to serve 250 patients?
https://brainly.in/question/15911778