In this lesson, we will learn how to find the volume of a solid generated by revolving a region around either a horizontal or a vertical line using integration.
Students will be able to
Q1:
Which of the following has the volume represented by the integration 𝜋25𝑥d?
Q2:
Consider the region bounded by the curves 𝑦=𝑥+4, 𝑦=0, 𝑥=0, and 𝑥=3. Determine the volume of the solid of revolution created by rotating this region about the 𝑥-axis.
Q3:
Find the volume of the solid generated by turning, through a complete revolution about the 𝑦-axis, the region bounded by the curve 9𝑥−𝑦=0 and the lines 𝑥=0, 𝑦=−9, and 𝑦=0.
Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.