Find the volume of a solid obtained by rotating the region underneath

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Find the volume of a solid obtained by rotating the region underneath the graph of f(x) = 64 − 4x2 about the y-axis over the interval [0, 4]. (Use symbolic notation and fractions where needed. )

$Find the volume of a solid obtained by rotating the region underneath the graph of f(x) = 64 − 4x2 about the y-axis over the interval [0, 4]. (Use symbolic notation and fractions where needed. )$

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Find the volume of a solid obtained by rotating the region underneath the graph of

f (x) = 64 - 4 x^{2}

about the

y

-axis over the interval

[0, 4]

. (Use symbolic notation and fractions where needed.)

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