Carolina P.

asked • 07/24/22

Math Question problem please help me

Water is being poured into a container as illustrated below at a constant rate. The height of the water level is then recorded every second. Draw the graph of the height of water level versus time for this container.

Mark M.

Review post for any missing information.
Report

07/24/22

Carolina P.

This is only the information it gives me and I don't understand this question
Report

07/24/22

Carolina P.

For this question You don't need to have specific values you just need a general picture of how the height of the water would change over time.
Report

07/25/22

Brenda D.

tutor
Mark has a point, you show a two dimensional figure and your question implies a volume versus height relationship. But volume of what? Is your figure some sort of trapezoidal prism, cone or frustum. A Frustum can be conical or the frustum of a pyramid. The height varies (increases) during the time it takes to completely fill the container.
Report

07/25/22

Alex L.

tutor
My answer works assuming that is the cross-section of the container.
Report

07/26/22

1 Expert Answer

By:

Alex L. answered • 07/26/22

Tutor
5 (1)

5+ Years Experience | Math, Science, and More
About this tutor ›
About this tutor ›

You want a function of height, and water flow is increasing area at a constant rate, so take the formula for area of a trapezoid, set the area equal to the water flow rate times time, and solve it for height.

Upvote • 0 Downvote
More
Report

Alex L.

tutor
Area of trapezoid = h*(b1+b2)/2
Report

07/26/22

Alex L.

tutor
Area (filled with water) = water flow rate * time
Report

07/26/22

Alex L.

tutor
Thus water flow rate * time = h * (b1+b2) /2 and solve for h.
Report

07/26/22

Still looking for help? Get the right answer, fast.

Ask a question for free

Get a free answer to a quick problem.
Most questions answered within 4 hours.

OR

Find an Online Tutor Now

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.