Question

The volume of a cylinder is 448πcm³ and height is 7 cm. Find its lateral surface area and
Total surface area.​

Answer 1

Answer:

Let the radius of the base and height of the cylinder be r cm and h cm respectively. Then, h=7 cm

Now, Volume = 448π cm

3

πr

2

h=448π

r

2

=

7

448

=64

r=8 cm

Therefore,

Lateral surface area =2πrh=2×

7

22

×8×7

Lateral surface area =352 cm

2

Total surface area =2πr(r+h)=2×

7

22

×8(7+8)

Total surface area =

7

5280

Total surface area=754.28 cm

2