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

Question

asked Jun 11, 2023 188k views

1 Answer

Jhnc · Answer 1 · 2023-06-18T03:04:53+0000

The volume of a cylinder is given by:

$V=\pi\cdot r^2\cdot h$

Where:

V = Volume = 141 cm³

h = Height

r = radius = 3cm

π = 3.14

Therefore:

$\begin{gathered} 141=3.14\cdot(3^2)\cdot h \\ 141=28.26h \end{gathered}$

Solve for h:

$\begin{gathered} h=(141)/(28.26) \\ 5.0\operatorname{cm} \end{gathered}$