Question

.
The radius and height of a cylinder are equal. If its curved surface
area is 1232 cm2, find the diameter of the base of the cylinder.​

Answer 1

Answer:

Given that height of the cylinder is 8 cm and volume is 1232 cm

3

We know that the volume of the cylinder =πr

2

h

So,

1232=22/7×r×r×8

r

2

=1232×7/8

r=7 cm

Also we know that curved surface area of cylinder =2πrh

So,

Curved surface area =2×22/7×7×8

Curved surface area =252 cm

2

We know that total surface area of cylinder =2πr(r+h)

So,

Total surface area =2×22/7×7(7+8)

Total surface area =2580 cm

2