A bottled-water company has designed a new cup for its dispenser. the cup will be a right circular cone with a three-inch radius. how tall will the cup need to be to hold $30 \pi$ cubic inches of water?

Respuesta :

Volume of cone = [tex] \frac{1}{3} r^{2} \pi h[/tex]

We have
Volume = 30[tex] \pi [/tex]
Radius = 3

Substitute the values into the formula gives

30[tex] \pi [/tex]=[tex] \frac{1}{3} [/tex][tex](3)^{2} [/tex][tex] \pi [/tex]h
[tex] \frac{30 \pi *3}{9 \pi } [/tex]= h
[tex]h=10cm[/tex]