Respuesta :
We are given with the Volume of the cone , and height of the cone ,
and it is asking about the radius of the cone
Now first of all , we should remember the formula for Volume of the cone
Volume of the cone = [tex] \frac{1}{3} \pi r^{2} h [/tex]
Let's plug the values given
[tex] 75\pi= \frac{1}{3} \pi r^{2} (9) [/tex]
Divide both sides by [tex] \pi [/tex]
[tex] 75= \frac{1}{3} r^{2} (9) [/tex]
Simplifying we get
[tex] 75= r^{2} (3) [/tex]
Divide both sides by 3
[tex] 25= r^{2} [/tex]
Takeing square root on both sides
So
r=5
Hence radius is 5 cm
Option B is the correct one
