Question

A cone has a height of 7 ft and a radius of 4 ft. Which equation can find the volume of the cone?
V = one-third pi (7 squared) (4) feet cubed
V = one-third pi (4 squared) (7) feet cubed
V = 3 pi (7 squared) (4) feet cubed
V = 3 pi (4 squared) (7) feet cubed

Answer 1

The volume \( V \) of a cone is given by the formula:

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

where \( r \) is the radius and \( h \) is the height of the cone.

In this case, the height \( h = 7 \) ft and the radius \( r = 4 \) ft. Substituting these values into the formula gives:

\[
V = \frac{1}{3} \pi (4^2)(7)
\]

So, the correct equation to find the volume of the cone is:

\[
V = \frac{1}{3} \pi (4^2)(7) \text{ feet cubed}
\]

This matches the second option:

**V = one-third pi (4 squared) (7) feet cubed**.