Question

pre-algebra ic sem 2 fall 2025
two - and three - dimensional
geometry

what number can be used to complete the volume statement for the given cone?

volume = cm³

Explanation:

Step1: Recall the volume formula for a cone

The volume formula for a cone is \( V=\frac{1}{3}Bh \), where \( B \) is the base - area and \( h \) is the height.

Step2: Substitute the given values into the formula

Given \( B = 20.5\pi\space cm^{2}\) and \( h=6\space cm\).
Substitute into \( V=\frac{1}{3}Bh\):
\( V=\frac{1}{3}\times(20.5\pi)\times6\)
First, calculate \(\frac{1}{3}\times6 = 2\).
Then, \(V=2\times20.5\pi\)
\(V = 41\pi\)

Answer:

\(41\)