Question

3. The volume of a cone is 2,700 cm³. If the height of the cone is 36 centimeters, what is the radius of the cone's base?​

Answer 1

radius ≈ 8.46 centimeters

Explanation:

We know that the formula for volume of a cone is

`V=1/3\pi r^2h`, where

• V is the volume in units cubed,
• r is the radius,
• and h is the height

We can rewrite the cone volume formula in terms of radius:

`√((3V)/(h\pi )) =r`

Since we're told that V = 2700 cm^3 and h = 36 cm, we can plug these two values into the cone volume formula in terms of radius and round to the nearest hundredth:

`√((3*2700)/(36\pi ))=r\\ √((8100/36\pi) )=r\\ 8.462843753=r\\8.46=r`