Question

What is the volume of the composite figure below?Hernisphere + Cylinder - Total Volume1.5 feet6 foot6 footThe diameter of the hemisphere is 6 feet.48.28 cubic feet67.15 cubic feet98.91 cubic feet15543 cubic feet

Answer 1

The volume of the composite figure is given by

Volume = Volume of Hemisphere + Volume of Cylinder

Volume of Hemisphere

This can be calculated by

`V_1=(2)/(3)\pi r^3`

The radius is 3 ft (half of the diameter)

Hence,

`\begin{gathered} V_1=(2)/(3)*\pi*3^3 \\ V_1=56.55 \end{gathered}`

Volume of Cylinder

This can be calculated by

`V_2=\pi r^2h`

The radius is 0.75 ft (half of the diameter)

The height is 6 ft

Hence,

`\begin{gathered} V_2=\pi*0.75^2*6 \\ V_2=10.60 \end{gathered}`

Therefore, the volume of the composite figure will be calculated by

`\begin{gathered} V=V_1+V_2 \\ =56.55+10.60 \\ =67.15 \end{gathered}`

The volume of the composite figure is 67.15 cubic feet.

The SECOND OPTION is correct!