Question

Instructions:Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar and ^ to indicate an exponent.
The formula for the volume of a cylinder is V = πr2h. The volume of a cylinder is three times the volume of a cone with the same radius and height.
If the volume of a cone with the same height as a cylinder equals the volume of the cylinder, the equation for the radius of cone R in terms of the radius of cylinder r is

Answer 1

Let R and r be the radius of the cone and cylinder respectively.
If the height, h, is the same value for the cone and the cylinder, then the following is true:\[\pi h r^2=\frac{1}{3} \pi h R^2 \]Solve the above for R.\[R=\sqrt{3} r \]

Answer 2

thats not it read the question again

Answer 3

\[\frac{1}{3} \pi h R^2\text{/.}\, R\to \sqrt{3} r \]\[\pi h r^2 \]

Answer 4

cant involve pi read plz

Answer 5

The radius of the cone is
\[\sqrt{3} \] or 1.73205 times larger than the cylinder's radius in order that both
volumes are equal to each other.