The diagram shows a water container in the shape of a triangular prism of length 120 cm.
Question:
The diagram shows a water container in the shape of a triangular prism of length 120 cm. The vertical cross-section is an equilateral triangle. Water is poured into the container at a rate of 24 cm3s−1.
a. Show that the volume of water in the container, V cm3, is given by
where hcm is the height of the water in the container.
b. Find the rate of change of h when h = 12.
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Step by Step Answer:
a To find the volume of water in the container we need to integrate the area of the crosssection o...View the full answer
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Related Book For 
Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook
ISBN: 9781108407144
1st Edition
Authors: Sue Pemberton, Julian Gilbey
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