Question

A cone shaped container can hold 340.2 in cubed. If the radius of the opening is 5in what is the height of the cone? Round to the nearest in.

Answer 1

about 128 inches

Explanation:

Since it's talking about how much the container is holding, this means we have to use the formula for the volume of a cone, which is
`V=\pi r^(2) (h)/(3)`

Plug in the given values into the formula and solve for h:

`340.2=\pi (5)^(2) (h)/(3)`

`340.2=\pi (25)(h)/(3)`

`(340.2)/(25\pi ) = (25\pi(h)/(3) )/(25\pi )`

`42.75=(h)/(3)`

`42.75(3)=(h)/(3) (3)`

`128=h`