The height of a cone is 15 cm

Asked by admin @ 29/08/2021 in Math viewed by 291 People

"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"

Answered by admin @ 29/08/2021

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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Hope this will help you....

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