Question

the curved surface area of a cylinder is 5500cm sq and the circumference of the base is 110 cm find the height of cylinder

Answer 1

heya!

here's ur answer frnd...

circumference of the base of the cylinder=110cm

2πr=110cm

2×22/7×r=110cm

43/7×r=110cm

r=110/1×7/44

r=2.5×7

r=17.5cm

the radius is 17.5cm

CSA of the cylinder=5500cm²

2πrh=5500cm²

2×22/7×17.5×h=5500cm²

44/7×17.5×h=5500cm²

770/7×h=5500cm²

110×h=5500cm²

h=5500/110

h=50cm

hence, the height of the cylinder is 50cm.

hope this helps...:-D

Answer 2

CSA of a cylinder=2\pi rh
CSA=5500cm
Circumference=2\pi r
110=2×22/7×r
r=17.5
5500=2×22/7×17.5×h
h=50