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Homework answers / question archive / 1) Find the volume of the solid formed by rotating the region bounded by the given curves about the indicated axis

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1) Find the volume of the solid formed by rotating the region bounded by the given curves about the indicated axis.
y = e^2x, x = −ln(3), x = ln(3), y = 0;
about the x-axis
2.Find the volume of the solid formed by rotating the region bounded by the given curves about the indicated axis.
y = −|x − 4| + 4, y = 0;
about the x-axis
3.Find the volume of the solid formed by rotating the region bounded by the given curves about the indicated axis of revolution. (Round your answer to two decimal places.)
y = −|x − 2| + 2, y = 0;
about the y-axis
4.Find the volume of the solid formed by rotating the region bounded by the given curves about the indicated axis of revolution. (Round your answer to two decimal places.)
y = x2/3, y = x2; about y = −1
5.Find the volume of the solid formed by rotating the region bounded by the given curves about the indicated axis of revolution. (Round your answer to two decimal places.)
y =
2
/x, y = −x + 3;
about the y-axis
6.Find the volume of the solid formed by rotating the region bounded by the given curves about the indicated axis of revolution.
y =
1
/x
,
y = 1,
y = 5,
x = 0;
about the x-axis
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