207k views
1 vote
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

A cylinder sits on top of the rectangular prism. What is the combined volume? (use-example-1
User Daniloxxv
by
7.7k points

1 Answer

4 votes

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)

User Keith Johnston
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories