Cylinder radius hundredfold

The length of the radius of the rotating cylinder base is 5 m. You calculate the radius of an equally high cylinder, the volume of which is a hundredfold.

Final Answer:

r₂ =  50 m

Step-by-step explanation:

$$\begin{gathered} r_1=5\text{m} \\ {V}_1=\pi r_1^{2}h \\ {V}_2=\pi r_2^{2}h=100V_1 \\ \pi r_2^{2}h=100\pi r_1^{2}h \\ {r}_2^2=100r_1^2 \\ {r}_2=\sqrt{100}\cdot r_1=\sqrt{100}\cdot 5=50\text{m} \end{gathered}$$

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