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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 27x3, y = 0, x = 1; about x = 2
Solution:
The solid will be generated by rotating the area ABCD around the axis y = 0
The volume of the solid generated will be given by the following expressions:
Volume of the solid =∫12 27x3
= [27x4/4]21
= 27/4 [(2)4 - (1)4]
= 27/4 [16 - 1]
= 27/4 × 15
Volume of the Solid = 101.25
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 27x3, y = 0, x = 1; about x = 2
Summary:
The volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 27x3, y = 0, x = 1; about x = 2 is 101.25
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