Question

Michelle is making cone-shaped trees of solid chocolate. Her trees will have a base with adiameter of 4 inches and the trees will be 7 inches high. How much chocolate will Michelleneed to make a solid chocolate tree?Round to the nearest hundredth.

Answer 1

ANSWER

$29.32in^3$

EXPLANATION

To find how much chocolate Michelle needs, we have to find the volume of the cone-shaped tree.

The volume of a cone is:

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

where r = radius; h = height

The diameter is 2 times the radius, which means that the radius of the base of the cone is half the diameter. That is:

$\begin{gathered} r=\frac{1}{2}\cdot4 \\ r=2\text{ inches} \end{gathered}$

Therefore, the volume of the cone-shaped tree is:

$\begin{gathered} V=\frac{1}{3}\cdot\pi\cdot2^2\cdot7 \\ V=29.32in^3 \end{gathered}$

That is the amount of chocolate that Michelle needs.