"Question 3 The height of a cone is 15 cm. If its volume is 1570 cm^3 , find the diameter of its base. [Use π = 3.14]
Class 9 - Math - Surface Areas and Volumes Page 233"
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VOLUME:
The space occupied by an object solid body is called the volume of the particular object solid body volume is always measured in cubic unit.
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Given:
Height (h) = 15 cm
Volume = 1570 cm³
Let the radius of the base of cone be r cm
Volume of a cone=1/3 πr²h
Volume = 1570 cm³
1/3 πr²h = 1570
1/3×3.14×r² ×15 =
1570
r²= 1570/(3.14×5)
= 15700/157= 100
r²=100
r=√100=10
r = 10 cm
Hence, Radius of the base is 10 cm.
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