Question

A cylinder sits on top of the rectangular prism. What is the combined volume? (use the Pi, round to the nearest tenth of an inch) ______ in3

Answer 1

The combined volume is:

`V=V_(rp)+V_c`

The volume of the rectangular prism is:

`V_(rp)=l\cdot w\cdot h`

The volume of a cylinder is:

`V_c=\pi\cdot r^2\cdot h`

Then, the combined volume is:

`\begin{gathered} V=l_(rp)\cdot w_(rp)\cdot h_(rp)+\pi\cdot r^2\cdot h_c \\ \\ V=10m\cdot5m\cdot3m+\pi\cdot(2m)^2\cdot4m \\ V=150m^3+16\pi m^3 \\ V=(150+16\pi)m^3 \\ \\ V\approx200.3\text{ }m^3 \end{gathered}`

Turn into inches:

`200.3m^3\cdot(61023.7in^3)/(1m^3)=12223047in^3`

Then, the volume in inches is 12,223,047 cubic inches (200.3 cubic meters)