This question from=
RS Aggarwal
Chapter Mensuration
Volume and surface
Volume and Surface Area of Solid
Exercise 17A
Page number 787
Problem number 17
Deepak BoraNewbie
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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Diameter of the hemisphere = 21 cm
∴ radius of the hemisphere = 10.5 cm
Volume of the hemisphere = [2/3] × πr³
= [2/3] × 3.14 ×10. 5 ×10. 5 ×10. 5
= 2425. 5 cm³
Height of the cylinder = Total height of the vessel-Radius of the hemisphere = 14. 5 -10. 5 = 4 cm
Volume of the cylinder = πr²h
= [22/7] × 10. 5 × 10. 5 ×4
= 1386 cm³
Total volume = Volume of hemispherical part +Volume of cylinder
= 1386 +2425. 5
= 3811. 5 cm³
∴ Capacity of the vessel is 3811. 5 cm³