Question #f0ea3

1 Answer
bp
Nov 9, 2017

#(1024pi)/625#

Explanation:

The region bounded by the given curves has been shown in the attached figure in red shade. Now consider an elementary strip of width #delta x# shown in blue pen in the figure. Its length would be #y= 16-(16-x^2) = x^2#. If this strip is revolved around y=16, the volume of the elementary disc so formed would be # pi (x^2)^2 delta x#

The volume of the solid so generated would be #int_(x=o)^4 pi x^4 dx#

= # pi (x^5 /5)^4 = (1024pi)/625#
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