Question

The two cylinders are mathematically similar.

From the image,
Work out the volume of cylinder B

??

Answer 1

10182.857 cm^3

Explanation:

By similarity the radius of B is 18 cm.

Use the pi r ^2 h formula

22/7*18*18*10

Answer 2

Check the picture below.

`\cfrac{r}{9}=\cfrac{10}{5}\implies \cfrac{r}{9}=2\implies r=18 \\\\[-0.35em] ~\dotfill\\\\ \textit{Volume of a Cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ h=10\\ r=18 \end{cases}\implies V=\pi (18)^2(10)\implies V\approx 10178.76~cm^3`