Question 111
A rectangular tin sheet is 12 cm long and 5 cm broad. It is rolled along its length to form a cylinder by making the opposite edges Just to touch each other. Then the volume of the cylinder is
Solution
From the above figure circumference of cylinder= 12cm
So 2πR= 12
R= $$\frac{12}{2\pi}$$
Volume of cylinder= π$$(R)^{2}$$h
where h and R are height and radius
So volume, V= π$$(\frac{12}{2\pi})^{2}\times5$$
V=$$\frac{180}{\pi}$$ $$cm^{3}$$
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