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RS Aggarwal

Chapter Mensuration

Volume and surface

Volume and Surface Area of Solid

Exercise 17A

Page number 787

Problem number 17

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# A vessel is in the form of a hemispherical bowl surmounted by a hollow cylinder. The diameter of the hemisphere is 21 cm and the total height of the vessel is 14.5 cm. Find its capacity

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This answer was edited.Diameter of the hemisphere = 21 cm

âˆ´ radius of the hemisphere = 10.5 cm

Volume of the hemisphere = [2/3] Ã— Ï€rÂ³

= [2/3] Ã— 3.14Â Ã—10. 5 Ã—10. 5 Ã—10. 5

= 2425. 5 cmÂ³

Height of the cylinder = Total height of the vessel-Radius of the hemisphere = 14. 5 -10. 5 = 4 cm

Volume of the cylinder = Ï€rÂ²h

= [22/7] Ã— 10. 5 Ã— 10. 5 Ã—4

= 1386 cmÂ³

Total volume = Volume of hemispherical part +Volume of cylinder

= 1386 +2425. 5

= 3811. 5 cmÂ³

âˆ´ Capacity of the vessel is 3811. 5 cmÂ³