Question

the radius and height of a cylinder are in the ratio 4:3 . the area of its base is 154cm2. find its curve surface area of cylinder

Answer 1

We have the ratio of radius and height 4 : 3

Radius = 4x

Height = 3x

Slant Height = root [(4x)2 +(3x)2 ]=5x { as it goes to Pythagorean Theorem}

 

As we know, Area of Base = pie X radius2 =>154=22/7 X 16x2

 

So, solving the Eq. we get x=1.75cm

 

Radius=7, Height =5.25cm, Slant Height =8.75cm

 

So, Curved Surface Area = pie X radius x slant height = 22/7 X 7 X 8.75 x=192.5cm2