2The volume of the container, V cm3, is given by = (8ℎ2 − 1 ℎ3) where h
3
cm is the hei...
Mathematics, 12.06.2020 07:57 matthew6889
2The volume of the container, V cm3, is given by = (8ℎ2 − 1 ℎ3) where h
3
cm is the height of the container.
(a)The container is heated up and its height increases from 4 cm to 4.1 cm. By using differentiation, find the approximate change in the volume of the
container. [3 marks]
(b)(i) Find the height of the container when the volume is maximum. [2 marks]
(ii) Hence, calculate the maximum volume of the container. Give your answer
in terms if . [2 marks]
Answers: 1
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