Question

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

Answer 1

Given the ratio of radius and height 4 : 3

Let Radius = 4x

Height = 3x

Slant Height = root{ (4x)2 +(3x)2} =5x

We know that , Area of Base = π  X radius2 =>154=22/7 X 16X2

so solving the equation we get x=1.75cm

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

Curved Surface Area = π  X radius X slant height = 22/7 X 7 X 8.75

x=192.5cm²

Therefore x=192.5 cm2