Question

1. which shape has a volume formula that includes a factor of \frac{1}{3}?

a. sphere
b. cube
c. cone
d. cylinder

Explanation:

• The volume formula for a sphere is \(V=\frac{4}{3}\pi r^{3}\).
• The volume formula for a cube is \(V = s^{3}\) (where \(s\) is the side - length).
• The volume formula for a cone is \(V=\frac{1}{3}\pi r^{2}h\).
• The volume formula for a cylinder is \(V=\pi r^{2}h\).

Among these, the cone's volume formula \(V = \frac{1}{3}\pi r^{2}h\) includes a factor of \(\frac{1}{3}\).

Answer:

C. Cone