Question

The volume of a cylinder is 448 cm³ and its height is 7 cm. Find the curved surface area and total surface area of the cylinder.​

Answer 1

Step-by-step explanation:

vol=448cm³

height=7cm(h)

22/7r²h=448

22/7×r²×7=448

22r²=448

r²=448/22

r=√448/22

r=u find out rest bcoz it's easy bro

Answer 2

Step-by-step explanation:

Given :

Volume of the cylinder is 448π cm³,

height of the cylinder is 7 cm.

Let the radius be r cm.

We know that,

Volume of cylinder = πr²h

=> 448π = πr²h

=> = r² × 7

=> 448 = r² × 7

=> = r²

=> 64 = r²

=> =r

=> 8 = r

Therefore,

the radius of the cylinder is 8 cm.

:

Lateral surface area and total surface area of the cylinder.

= 2πrh

= 2 × × 8 × 7

= 352 cm²

.

= 2πr(r + h)

= 2 × × 8 ( 8 + 7)

= 754.28 cm²