Question

If a cone of height 8 metre has a curved surface area of 118 188.4 m square then find the radius of its base

Answer 1

Given:

1. height of a cone is h

so that,

h=8m

let assume r is the radius and L is the tilt height or length of a cone.

2. curved surface are of cone is A,

so that ,

A= 188.4 square meters

r=root(A²/(pi*(pi*h²+2A)))

r=root(188.4²/(pi*(pi*8²+2(188.4)))

r=4.42 m

volume of a cone can be given as,

V=pi*r²*h/3

V=pi*(4.42)²*8/3

V=163.66 cubic metres