# A mathematical model for the inside of a bowl is obtained by rotating the curve x 2

## Question:

A mathematical model for the inside of a bowl is obtained by rotating the curve x^{2} + y^{2} = 100 through 360° about the y-axis between y = −8 and y = 0. Each unit of x and y represents 1cm.

a. Find the volume of the bowl.

The bowl is filled with water to a depth of 3cm.

b. Find the volume of water in the bowl.

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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