Find the height of a cylinder with a volume of 141cm3 and radius of 3cm. Round to the nearest tenth. Use 3.14 for .

Answer :

The volume of a cylinder is given by:

[tex]V=\pi\cdot r^2\cdot h[/tex]

Where:

V = Volume = 141 cm³

h = Height

r = radius = 3cm

π = 3.14

Therefore:

[tex]\begin{gathered} 141=3.14\cdot(3^2)\cdot h \\ 141=28.26h \end{gathered}[/tex]

Solve for h:

[tex]\begin{gathered} h=\frac{141}{28.26} \\ 5.0\operatorname{cm} \end{gathered}[/tex]