Question

the. volume. of a cylinder. is. 308. cm3. it's. 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 = 2πr² + 2πrh

here,
volume = 308 cm³
=> πr²h = 308
=> πr² = 308/8 = 38.5 cm² .....↓

=> r² = 38.5 /π = 38.5 × 7/22

=> r² = 12.25 = 3.5²

=> r = 3.5 cm

Now,
Lateral surface area = 2π×3.5×8

=> 56π = 56×22/7 = 176 cm²

Now,
total surface area= 2πrh + 2πr²
= 176 + 2× 38.5
= 176 + 77
= 253 cm² Answer

⭐ hope it helps ⭐