Question

the volume of a cylinder is 308 cm cube its height is 8 cm find its lateral surface area and total surface area

Answer 1

hello users ...
solution:-
we know that :-
volume of cylinder = πr²h 
and
lateral surface area or curved surface area of cylinder = 2πrh
and
total surface area of cylinder =2πr + 2πr² =  2πr(r+h) 

now,
According to given:

height of cylinder = 8 cm
And
volume = 308 cm³
=> πr²h = 308 cm³ 

=> r² = 308 / 8π   = 308*7 / 22*8

=> r² = 2156 / 176 = 12.25 

=> r = 3.5 cm

Now,
lateral surface area.
= 2πrh = 2 * 22/7 * 3.5 * 8 
= 176 cm²

and
total surface area
= 2πr(r+h) = 2* 22/7 *3.5 * (3.5 + 8)
=44/7 * 3.5 * 11.5
= 253 cm² Answer

@ hope it helps :)

Answer 2

Heya..

Here is your answer....