Question 64

The respective ratio of curved surface area and total surface area of a cylinder is 4:5. If the curved surface area of the cylinder is 1232 cm2, what is the height ? (in cm)

Solution

Let R and H be the radius and height of cylinder

Curved Surface area of cylinder = 2$$\barwedge$$RH = 1232

($$\barwedge$$RH= 616 sqr cm)

Total surface area of cylinder = 2$$\barwedge$$RH + 2$$\barwedge(R)^2$$ = 2$$\barwedge$$R(H+R)

it is given that CurvedSurfaceArea/TotalSurfaceArea = 4/5

1232/(1232 + 2$$\barwedge(R)^2$$) = 4/5

R = 7 cm

2$$\barwedge$$RH = 1232

2$$\barwedge$$7H = 1232

44H =1232
H = 28 cm

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