## Related questions with answers

Question

Volume of a sphere Let $R$ be the region bounded by the upper
half of the circle $x^{2}+y^{2}=r^{2}$ and the $x$ -axis. A sphere of radius $r$
is obtained by revolving $R$ about the $x$ -axis.

a. Use the shell method to verify that the volume of a sphere of
radius $r$ is $\frac{4}{3} \pi r^{3}$ .
b. Repeat part (a) using the disk method.

Solution

VerifiedStep 1

1 of 5Given $y^2+x^2=r^2$ and $y=0 ;$ about the $x$ -axis

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