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Question 64
The length and the breadth of a rectangle are 15 cm and 12 cm respectively. If the rectangle is given one full rotation about its breadth as the axis, what is the volume(in $$cm^3$$) through which the rectangle moves?
Solution
If the rectangle is given one full rotation about its breadth, then its movement will be like a cylinder. So the property of the cylinder will be applied.
volume of cylinder = $$\pi\ \times\ \left(radius\right)^2\ \times\ height$$
Height = 12 cm (breadth of rectangle)
radius = 15 cm (length of rectangle)
=Â $$\pi\ \times\ \left(15\right)^2\ \times\ 12$$
= $$\pi\ \times225\ \times\ 12$$
=Â $$2700\pi$$
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