Water is poured into the hemispherical bowl of radius 5cm at a rate of 3cm 3 s

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Water is poured into the hemispherical bowl of radius 5cm at a rate of 3πcm³s⁻¹.
After t seconds, the volume of water in the bowl, V cm3, is given by

where hcm is the height of the water in the bowl.

a. Find the rate of change of h when h = 1.
b. Find the rate of change of h when h = 3.

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Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

ISBN: 9781108407144

1st Edition

Authors: Sue Pemberton, Julian Gilbey

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Question Posted: Mar 10, 2023 11:25 PM

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Water is poured into the hemispherical bowl of radius 5cm at a rate of 3cm 3 s

Question:

V = 51h²--/th²³₂ πh3. 3

Step by Step Answer:

Given Rate of pouring water 3 cms Volume of hemispherical bowl 23 5 cm 5003 cm The volume of wat...View the full answer

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

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