if the volume of the cone is 25 π and the height is 3 what is the radius
To find the radius of the cone, we can use the formula for the volume of a cone:
\( V = \frac{1}{3} \pi r^2 h \)
Given that the volume of the cone is 25π and the height is 3, we can plug in these values to the formula:
\( 25\pi = \frac{1}{3} \pi r^2 \cdot 3 \)
\( 25\pi = \pi r^2 \)
Solving for r^2:
\( r^2 = \frac{25\pi}{\pi} \)
\( r^2 = 25 \)
Taking the square root of both sides to find r:
\( r = 5 \)
So, the radius of the cone is 5.