160k views
1 vote
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

1 Answer

7 votes

\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

User Gosseti
by
7.6k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories