In this lesson, we will learn how to find the volume of a solid generated by revolving an area around a vertical or horizontal axis using the shell method.
Students will be able to
Q1:
Calculate the volume of a solid generated by rotating the region bounded by the curve 𝑦=2−7𝑥 and straight lines 𝑥=1 and 𝑦=4 a complete revolution about the 𝑦-axis.
Q2:
Calculate the volume of a solid generated by rotating the region bounded by the curve 𝑦=5𝑥−2, the 𝑦-axis, and the straight line 𝑦=1 a complete revolution about the 𝑦-axis.
Q3:
Determine the volume of the solid generated by rotating the region bounded by the curve 𝑦=7𝑥 and the line 𝑦=7𝑥 a complete revolution about the 𝑥-axis.
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