Answer:
4 units (nearest whole number)
Step-by-step explanation:
Formula
[tex]\textsf{volume of a cone}=\dfrac13 \pi r^2h[/tex]
Solution
Given:
- volume = 201.06 units³
- height = 12 units
[tex]\implies 201.06=\dfrac13 \pi r^2(12)[/tex]
[tex]\implies 201.06=4 \pi r^2[/tex]
[tex]\implies r^2=\dfrac{201.06}{4 \pi}[/tex]
[tex]\implies r=\sqrt{\dfrac{201.06}{4 \pi}}[/tex]
[tex]\implies r=3.999980804...[/tex]
Therefore, the radius of the cone is 4 units (nearest whole number)
