In the following figure,a spinning top in the form of right circular cone is covered with a hemisphere.If the radius of the hemisphere is 3.5cm and the total height of the top is 11.5cm.Calculate the volume of the top.
Answers
Given : a spinning top in the form of right circular cone is covered with a hemisphere , total height of the top is 11.5cm radius of the hemisphere is 3.5cm
To find : Volume of Top
Solution:
Total Height = 11.5 cm
Hemisphere Radius = 3.5 cm
=> Height of cone = 11.5 - 3.5 = 8 cm
Radius of Cone = 3.5 cm
Volume of Cone = (1/3) π r² h
= (1/3) (22/7) (3.5)² * 8
= 308/3 cm³
Volume of Hemisphere = (2/3) π r³
= (2/3) (22/7)(3.5)³
= 539/6 cm³
Volume of spinning top = 308/3 + 539/6
= (616 + 539)/6
= 1155/6
= 192.5 cm³
Volume of spinning top = 192.5 cm³
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