Volume and Surface Area of Composite Solids
Volume and Surface Area of Composite Solids
TGM Original Questions
The figure below shows a container that is a triangular prism with a right-angled triangular cross section. The container is empty at first, and then is filled with water by a pipe with diameter \(5\)cm at a constant speed of \(3\)m/s.
- Find volume of water filled into the container per second in cm\(^3\)/s, leaving your answer in terms of \(\pi\).
- Hence, find the total time needed, in seconds, for the container to be completely filled, correcting your answer to \(2\) decimal places.
After \(t\) seconds, the depth of the water in the container is \(1\)m and the length of the water surface in the container is \(0.8\)m.
- Find the value of \(t\), correcting your answer to \(2\) decimal places.
- Find the volume of empty space in the container at this moment.
- Find the surface area of the container that is in contact with water at this moment.
Video Solution:
Video solution locked
Solution:
Solution locked
Sign in to view the step-by-step solution
Similar questions are unavailable for this question.
Answer:(a) \(1875\pi\text{ cm}^3\text{/s}\) (b) \(15.28\text{ s}\) (c) \(6.79\text{ s}\) (d) \(50{,}000\text{ cm}^3\) (e) \(10{,}280\text{ cm}^2\)
Need help? Join our JC Math tuition classes.
Learn more