Question

Sandy's Snow Cone Shoppe has asked you to create a cone for their new Brain Freeze-sized snow cone. They have requested that the cone be at least 300 cubic inches in size with a height of 8 inches. Solve for the radius of the snow cone and round to the nearest inch.

Answer 1

The volume of the cone is given by the formula:

`V=(\pi r^2h)/(3)`

Where:

r = radius

h = height = 8 inches

V = 300 cubic inches

π = 3.14

Substitute the values:

`300=((3.14)r^2(8))/(3)`

And solve for r:

`\begin{gathered} (300*3)/(3.14*8)=r^2 \\ 35.828=r^2 \\ r=√(35.828) \\ r=5.98\approx6 \end{gathered}`

Answer: the radius is 6 inches