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
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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 of the cone.

Step2: Substitute the given values into the formula

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

Answer:

\( 50\pi \)