Question

Cones and Candy sells candy as well as snow-cones. Roberto uses paper cone cups to fill the snowcones that have a volume of 12.8 cubic inches. If theheight of the cone is 4 inches what is the diameter?Use 3.14 to approximate pi.

Answer 1

The volume of a cone is given by:

$V=\frac{1}{3}\pi r^2h$

Where:

V = Volume = 12.8in³

π = 3.14

r = Radius

h = height = 4in

Solve the formula of the volume for r:

$\begin{gathered} r^2=\frac{3V}{\pi h} \\ r=\sqrt[]{\frac{3V}{\pi h}} \\ r=\sqrt[]{\frac{3\cdot12.8}{3.14\cdot4}} \\ r\approx1.7485in \end{gathered}$

The diameter is given by:

$\begin{gathered} d=2\cdot r \\ so\colon \\ d=2\cdot1.7485 \\ d=3.497in \end{gathered}$