Respuesta :

75pie= 1/3(pie r2)(9)
75pie=3(pie r²) 
25pie=pie r²
√25 =√r² 
r=5

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


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