Question

Calculate the volume. Round to 2 decimal places.*2 pointsCaptionless ImageA) 150.72 m^3B) 37.68 m^3C) 113.04 m^3D) 904.32 m^3

Answer 1

Solution.

The shape given is a sphere.

The diameter = 6m

Radius = Diameter/2

Radius of the sphere = 6m/2 = 3m

`\begin{gathered} Volume\text{ of a sphere, V = }(4)/(3)\pi r^3 \\ Where\text{ r=radius} \end{gathered}`
`\begin{gathered} Volume\text{ of the sphere = }(4)/(3)\text{ x }\pi\text{ x 3}^3 \\ V=(4)/(3)\text{ x }\pi\text{ x 27} \\ V=113.04m^3(2\text{ decimal places\rparen} \\ \end{gathered}`

The answer is option C