Answer:
[tex]A=706.50\ cm^2[/tex]
Step-by-step explanation:
The volume of a cone is given by the formula:
[tex]V=\frac{1}{3}\pi r^2h[/tex]
where;
- [tex]h[/tex] is the cone's height
- [tex]r[/tex] is the radius
- [tex]\pi r^2[/tex] is the base area of the cone.
We make [tex]\pi r^2[/tex] the subject of the formula then equate to the volume formula to calculate the base area:
[tex]V=\frac{1}{3}\pi r^2h\\\\\pi r^2=\frac{3V}{h}\\\\=\frac{3\times 4710}{20}\\\\=706.50\ cm^2[/tex]
Hence, the cone's base has an area of [tex]706.50\ cm^2[/tex]
