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Geometry The formula for the volume of a cylinder is V = ar?h, where ris the cylinder's radius and h is its height. Solve the equation for h. What is the height of a cylinder with volume 502.4 cm and radius 4 cm? Use 3.14 for .

User Javirs
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\begin{gathered} \text{volume of a cylinder=}\pi* r^2* h \\ V=\pi* r^2* h \\ \text{divide both sides by }\pi r^2 \\ (V)/(\pi r^2)=h \\ h=(V)/(\pi r^2) \end{gathered}
\begin{gathered} V=502.4cm^3 \\ r=4\operatorname{cm} \\ \pi=3.14 \\ h=(V)/(\pi r^2) \\ h=(502.4)/(3.14*4^2) \\ h=(502.4)/(3.14*16) \\ h=(502.4)/(50.24) \\ h=10\text{ cm} \end{gathered}

height of the cylinder = 10 cm

User Pavel Uvarov
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