Question

The volume of cylindrical is 308cm cubed and height is8cm 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 of cylinder = 2πrh

and
total surface area of cylinder = 2πr(r+h) 

now,
 Given that :
height of cylinder = 8 cm
And
volume = 308 cm³
=> πr²h = 308 cm³ 
=> πr² = 308/8 
=> r² = 308 / 8π  
=> r² = 2156 / 176 
=> r² = 12.25 cm² 
=> 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 #