Resources for Volume of a Cylinder
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Volume of a Cylinder Theory
![\begin{minipage}{8cm} The volume of a cylinder is given by $$ V=\pi r^2 h $$ \end{minipage}\\[5pt] where the base area is a circle with area \(\pi r^2\) and \(h\) is the height of the cylinder.\\ \begin{multicols}{2} \textbf{Example 1}\\ Find the exact volume of a cylinder with a radius of \(2 \text{~cm}\) and a height of \(5 \text{~cm}\).\\ \textbf{Example 1 solution}\\[3pt] \(\begin{aligned} & V=\pi r^2 h \\ & V=\pi \times 2^2 \times 5 \\ & V=\pi \times 4 \times 5 \\ & V=20 \pi \text{ cm}^3 \end{aligned}\) \columnbreak \textbf{Example 2}\\ A cylinder has a volume of \(50 \pi \text{ cm}^3\) and a height of \(2 \text{~cm}\). Find the radius of the cylinder.\\ \textbf{Example 2 solution}\\[3pt] \(\begin{aligned} V&=\pi r^2 h \\ 50 \pi&=\pi r^2 \times 2 \\ 50&=2 r^2 \\ r^2&=50 \div 2 \\ r^2&=25 \\ r&=\sqrt{25} \\ \therefore r&=5 \text{~cm} \end{aligned}\) \end{multicols}](/media/v0fauiqy/7994.png)
NSW Y8 Maths Volume Volume of a Cylinder
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