10 circular plates each of thickness 3 cm each are placed one above the other and a hemisphere of ra...........

Quantitative Aptitude ( CCS) Mensuration 3D

10 circular plates each of thickness 3 cm, each are placed one above the other and a hemisphere of radius 6 cm is placed on the top just to cover the cylindrical solid. What is the volume of the solid so formed ?

264π cu cm

252π cu cm

?236π cu cm

None of these

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Explanation:

In the figure, it is clear that
Height of cylinder (h) = 3 × 10 = 30 cm
? Radius of hemisphere (R) = 6 cm
∴ Radius of cylinder (r) = 6 cm
Now, Volume of the solid = Volume of cylinder + Volume of hemisphere