Question

this oblique circular cone has a radius of 5 m and a height of 6 m. what is the volume of the figure? give an exact answer in terms of pi. m³ show calculator

Explanation:

Step1: Recall the volume formula for a cone

The volume \( V \) of a cone (including oblique circular cones) is given by the formula \( V=\frac{1}{3}\pi r^{2}h \), where \( r \) is the radius of the base and \( h \) is the height.

Step2: Substitute the given values

We are given that \( r = 5\space m \) and \( h=6\space m \). Substituting these values into the formula, we get:
\( V=\frac{1}{3}\pi\times(5)^{2}\times6 \)
First, calculate \( (5)^{2}=25 \). Then, multiply \( 25 \) and \( 6 \): \( 25\times6 = 150 \). Now, multiply by \( \frac{1}{3} \): \( \frac{1}{3}\times150=50 \). So the volume \( V = 50\pi \).

Answer:

\( 50\pi \)