How many hemispherical balls can be made from a cylinder 56 cm high and 12 cm diameter, when every ball being 0.75 cm in radius ?
Radius of cylinder = $$r=6$$ cm and height = $$h=56$$ cm
=> Volume of cylinder = $$\pi r^2h$$
= $$\pi\times(6)^2\times56=2016\pi$$ $$cm^3$$
Radius of hemisphere = $$R=0.75$$ cm
=> Volume of hemisphere = $$\frac{2}{3}\pi (R)^3$$
= $$\frac{2}{3}\pi\times(0.75)^3=0.28125\pi$$ $$cm^3$$
$$\therefore$$ Number of balls made = $$\frac{2016\pi}{0.28125\pi}=7168$$
=> Ans - (D)
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