Grace made a paper cone to hold a gift for her friend.The paper cone was 12 inches high and had a diameter of 6 inches.Find the volume of the paper cone.

Question

asked May 25, 2023 177k views

1 Answer

Larissa Savchekoo · Answer 1 · 2023-05-30T07:38:36+0000

$V=(1)/(3)\pi r^2h$

The formula shown above can be used to calculate the volume of a cone. Where "r" is the radius and "h" is the height of the cone.

For this case, you know the diameter of the paper cone is 6 inches. Since the radius is half the diameter, you can determine that the radius is:

$\begin{gathered} r=(6in)/(2) \\ \\ r=3in \end{gathered}$

According to the information given in the exercise, the height of the paper cone is:

Knowing these values, you can substitute them into the formula and evaluate. Then, the volume is:

$\begin{gathered} V=(1)/(3)\pi(3in)^2(12in) \\ \\ V=(36\pi)in^3^{} \end{gathered}$

The answer is:

$V=(36\pi)in^3$