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ML Aggarwal Solutions Class 10 Mathematics Solutions for Mensuration Exercise 17.2 in Chapter 17 - Mensuration
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The height of a cone is 15 cm. If its volume is 1570 cm2 , find the radius of the base. (Use π = 3.14)
Answer:
Solution:
Consider a cone with a height of "h" and a circular base with radius "r." This cone's volume will be equal to one-third of the base's area multiplied by its height.
Given height of a cone, h = 15 cm
Volume of the cone = 1570 cm3
(1/3)π r2h = 1570
(1/3)3.14 ×r2×15 = 1570
5 ×3.14×r2 = 1570
r2 = 1570/5×3.14 = 314/3.14 = 100
r = 10
Hence the radius of the cone is 10 cm. 
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