Question 65

From solid cylinder with base diameter 14 cm and height 20 cm hemispherical parts were cut from both the ends of the cylinder. Find the volume of the resultant object?

Solution

Radius of cylinder = 7 cm and height = 20 cm

Radius of the hemisphere = 7 cm

Volume of remaining part = Volume of cylinder - $$2 \times$$ Volume of hemisphere

= $$\pi r^2h-(2\times\frac{1}{2}\times\frac{4}{3}\pi r^3)$$

= $$(\pi r^2)[h-\frac{4r}{3}]$$

= $$(\frac{22}{7}\times7\times7)\times(20-\frac{28}{3})$$

= $$154\times\frac{32}{3}=\frac{4928}{3}$$ $$cm^3$$

=> Ans - (B)

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