Question

3. A cone has a heighth and a base with radius r. You want to change the cone so its volume is tripled. What is the new height if you only change the

height?

Answer 1

Hence the new height is 3 times the original height .(h1=3h)

Explanation:

Given:

A cone with has height and base with radius r .

To Find:

What is new height

Solution:

Consider as cone with height h base radius r, and volume v

Here given that only height changes for the cone i.e. r remains the unchanged or same or constant

The volume for a regular cone is given by ,

`V=pie*r^2*h/3`

Here V is directly proportional to h i.ee pie ,3 and r being constant

`V=K*h`

i.e V/h=constant

V1 and h1 are new dimensions for new cone

V/h=V1/h1

Here V1=3V

So V/h=3V/h1

1/h=3/h1

i.e h1=3h

Hence the height is 3 times the original height .