The volume of a cone is 75π cm3 and the height is 9 cm. what is the radius of the cone? a. 15 cm b. 5 cm c. 25 cm d. 10 cm

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 =

Let's plug the values given

Divide both sides by

Simplifying we get

Divide both sides by 3

Takeing square root on both sides

So

r=5

Hence radius is 5 cm

Option B is the correct one

  or  

sin y = 7/q

7 is the opposite side length, q is the hypotenuse

tan y = 7/r

7 is the opposite side length, r is the adjacent side length

using sohcahtoa ^^^^

cos y = adjacent/hypotenuse

cos y = r/q