Cone in cylinder

The cylinder is an inscribed cone. Find the ratio of the volume of the cone and cylinder.

Please write the ratio as a decimal number and as a percentage.

Correct answer:

r =  0.3333
r₂ =  33.3333 %

Step-by-step explanation:

$$\begin{gathered} V_1=\frac{1}{3}\cdot \pi r^2\cdot h \\ {V}_2=\pi r^2\cdot h \\ r=V_1:V_2 \\ r=\frac{\frac{1}{3}\cdot \pi r^2\cdot h}{\pi r^2\cdot h} \\ r=\frac{1}{3}=0.3333 \end{gathered}$$

$r_2=100\cdot r=100\cdot 0.3333=33.3333\%$

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