A rectangle has dimensions of
To find: The exact volume of the solid of revolution formed when the rectangle is rotated.
Given:
A rectangle has dimensions of 6 in. by 3 in. A solid is formed when the rectangle is rotated about its 3-in. side.
Formula used:
The volume of the right circular cylinder is
Calculation:
When the rectangle is rotated about its 3-in side, a right circular cylinder is formed with altitude 3 in and base radius 6 in as shown below
Thus we have
Substitute the known values in the formula,
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