Question

A cylinder is full at 471 cm3 and has a radius of 5 cm. It currently contains 314 cm3 of water.

What will the difference in the height of the water be when the cylinder is full?
Use 3.14 to approximate pi.


cm

Answer 1

`\bf \textit{volume of a cylinder}=v=\pi r^2h\\\\ \begin{cases} r=radius\\ h=height \end{cases}\\\\ -----------------------------\\\\`


`\bf \begin{array}{llll} v=\pi r^2h&v=\pi r^2h\\ \textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\ \begin{cases} r=5\\ v=471 \end{cases}\qquad \qquad &\begin{cases} r=5\\ v=314 \end{cases}\\ \textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\ 471=\pi \cdot 5^2\cdot h&314=\pi \cdot 5^2\cdot h \end{array}`

solve each one for "h", see how much "h" is when the volume is 471, a full cylinder, and when is 314 full only,
get their difference