contestada

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 .

Respuesta :

[tex]\begin{gathered} \text{volume of a cylinder=}\pi\times r^2\times h \\ V=\pi\times r^2\times h \\ \text{divide both sides by }\pi r^2 \\ \frac{V}{\pi r^2}=h \\ h=\frac{V}{\pi r^2} \end{gathered}[/tex][tex]\begin{gathered} V=502.4cm^3 \\ r=4\operatorname{cm} \\ \pi=3.14 \\ h=\frac{V}{\pi r^2} \\ h=\frac{502.4}{3.14\times4^2} \\ h=\frac{502.4}{3.14\times16} \\ h=\frac{502.4}{50.24} \\ h=10\text{ cm} \end{gathered}[/tex]

height of the cylinder = 10 cm

Otras preguntas