Question

Find the volume of each cylinder. Round your answers to the nearest tenth, if necessary. Do not include units (i.e. ft, in, cm, etc.). (FR)

Answer 1

The volume of a cylinder is expressed as

`\begin{gathered} volume\text{ = }\pi* r^2* h \\ where \\ r\Rightarrow radius\text{ of the circular ends of the circle} \\ h\Rightarrow height\text{ of the cylinder} \end{gathered}`

Given the cylinder:

Step 1: Evaluate the radius of the circular end of the cylinder.

`\begin{gathered} radius=(diameter)/(2) \\ =(4cm)/(2) \\ \Rightarrow r=2\text{ cm} \end{gathered}`

Step 2: Evaluate the volume of the cylinder.

Thus,

`\begin{gathered} volume\text{ = }\pi* r^2* h \\ where \\ r=2\text{ cm} \\ h=\text{ 8 cm} \\ thus, \\ volume\text{ = }\pi*2\text{ }*2*8 \\ =100.5309649\text{ } \\ \Rightarrow volume\approx100.5\text{ \lparen nearest tenth\rparen} \end{gathered}`

Hence, the volume of the cylinder, to the nearest tenth, is

`100.5`