Question

An ice cream cone has a diameter of 6 inches and a height of 7 inches. What number can be used to complete the volume statement for the ice cream cone?
Volume = ______?

Answer 1

since we know the diameter of the cone is 6 inches, then its radius must be half that, namely 3 inches.

$\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\ -----\\ r=3\\ h=7 \end{cases}\implies V=\cfrac{\pi (3)^2(7)}{3}\implies V=21\pi$

Answer 2

we are given

diameter=6inches

we know that

diameter=2*radius

so, we get

radius=r=3inch

height=h=7inch

now, we can use cone volume formula

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

we can plug r and h

and we get

$V=\frac{1}{3} \pi (3)^2(7)$

$Volume= 65.97345 inch^3$..............Answer