Acone with a radius of 6 cm and a height of 8 cm has the same volume as a cylinder with a height of 6 cm. what is the radius
of the cylinder?
a)4 cm
b)4 cm
c)6 cm
d) 8 cm

The radius of the cylinder is 4 cm.

Step-by-step explanation:

Given:

radius of cone = 6 cm

height of the cone = 8 cm

height of cylinder = 6 cm

We need to find the radius of cylinder.

Solution:

First we will find the volume of cone.

Volume of cone is one third time square of radius times height times π.

framing in equation form we get;

Volume of cone =

Now Volume of cylinder is given by square of radius times height times π.

framing in equation form we get;

Volume of cylinder =

Now it has been given that;

Volume of cone is equal to Volume of cylinder.

so we can say that

Dividing both side by 18.84 we get;

Taking square root on both side we get;

Hence the radius of the cylinder is 4 cm.

96 39 cause 135 -96=39 im smart (i used a calculater)