Question

a cone has a height of 20 centimeters and a volume of 4,710 cubic centimeters. what is the area of the base of the cone?

Answer 1

`A=706.50\ cm^2`

Explanation:

The volume of a cone is given by the formula:

`V=(1)/(3)\pi r^2h`

where;

• 
  `h` is the cone's height
• 
  `r` is the radius
• 
  `\pi r^2` is the base area of the cone.

We make
`\pi r^2` the subject of the formula then equate to the volume formula to calculate the base area:

`V=(1)/(3)\pi r^2h\\\\\pi r^2=(3V)/(h)\\\\=(3* 4710)/(20)\\\\=706.50\ cm^2`

Hence, the cone's base has an area of
`706.50\ cm^2`