Question

the radius
and the height of cylinder are in the ratio 7 :2 if the volume of the cylinder is 8316 cm cube find the total surface area of the cylinder

Answer 1

let radous is 7x and height is 2x
volume of cylinder is 8316
volume of cylinder os 22/7r×r×h
22/7×7x×7x×2x=8316
7x×7x×2x=8316×7/22
98x×x×x×x=8316×7/22
isko solve karke x ki value nikal liya aur phir usse jaha par height aur radius let ki wha lat rakh denga phir hameri rafius aur heght ajaegi then formula of total surace area put you get ur answer

Answer 2

Hey!
let the ratio be x
radius=7x
height=2x
so, volume of cylinder=πr^2h
8316=22/7*7x^2*2x
8316=22/7*49x^2*2x
8316=22*7x^2*2x
8316=22*14x^3
=) 14x^3=8316/22
=)14x^3=378
=)x^3=378/14
=)x^3=27
=)x=3
so,radius=7*3=21
and height=2*3=6
finally we can T.S.A use the formula is 2πrh
Hope it helps you