Question

The area of the curved surface of a cylinder is 4400cm^2 and the circumference of its base is 110cm. Find the height of the cylinder.

Note : please give the answer with steps.

Answer 1

Heya friend,

Given that

C.S.A = 4,400 cm^2

Circumference of base = 110 cm

Solution

Circumference of base = 2πr

=> 110 = 2 × 22/7 × r

=> 110 = 44/7 × r

=> r = 110×7/44

=> r = 17.50 cm

C.S.A of a cylinder = 2πrh

=> 4,400 = 2 × 22/7 × 17.50 × h

=> 4,400 = 44/7 × 17.50 × h

=> 4,400 = 110 h

=> h = 4,400/110

=> h = 40 cm

Thanks

With regards@

Tanisha

Answer 2

Circumference of base =
2πr
=110
or, 22/7*2*r=110
or, 22/7*r=55
or, 22*r=385
or, r=17.5 cm

CSA of cylinder=2πrh
=4400

or, 2*22/7*17.5*h=4400
or, 22/7*17.5*h=2200
or, 55*h=2200
or, h= 40 cm

Therefore height=40 cm