Question

The circumference of the base of a cylinder is 132 cm. Its height is 25 cm. What is the volume of the cylinder?

Answer 1

Circumference of the base of a cylinder = 2πr
Circumference of the base of the given cylinder = 132 cm
Radius (r) = Circumference ÷ 2π
$$\begin{gathered} =\frac{132}{2\mathrm{\pi }} \\ =\frac{132\times 7}{2\times 22} \\ =21\mathrm{cm} \end{gathered}$$
Height of the cylinder (h) = 25cm
Volume of the cylinder = πr²h
$$\begin{gathered} =\frac{22}{7}\times 21\times 21\times 25 \\ =34650\mathrm{cu}\mathrm{cm} \end{gathered}$$