Question

Find the volume of each cylinders. Round your answers to the nearest tenth if necessary. Use 3.14 for pi

Answer 1

Solution

1)

The volume of a cylinder

$\begin{gathered} Volume\text{ of a cylinder = }\pi r^2h \\ \pi\text{ = 3.14} \\ h\text{ = 8} \\ \text{r = 6} \end{gathered}$

Next, substitute in the formula to find the volume of the cylinder.

$\begin{gathered} Volume\text{ of a cylinder = 3.14 }\times\text{ 6}^2\text{ }\times\text{ 8} \\ =\text{ 3.14 }\times\text{ 36 }\times\text{ 8} \\ Volume\text{ of the cylinder }=\text{ 904.3 ft}^3 \end{gathered}$

2)

The volume of a sphere

$\begin{gathered} \text{The volume of a sphere = }\frac{4}{3}\pi r^3 \\ r\text{ = }\frac{diameter}{2} \\ diameter\text{ = 13cm} \\ \text{r = }\frac{13}{2}\text{ = 6.5 cm} \\ \text{The volume of a sphere=}\frac{4}{3}\times3.14\text{ }\times\text{ 6.5}^3 \\ \text{= 1293.5 cm}^3 \end{gathered}$

3)

The volume of a cone.

$\begin{gathered} \text{The volume of a cone = }\frac{1}{3}\pi r^2h \\ \pi\text{ = 3.14} \\ \text{r = 6cm} \\ \text{h = 15cm} \\ \text{Thevolumeofacone=}\frac{1}{3}\times3.14\text{ }\times6^2\times\text{ 15} \\ \text{= 565.2 cm}^3 \end{gathered}$