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The height of a cone is 15 cm. If its volume is 1570 cm 3 , find the radius of the base.
(Use π = 3.14)

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CBSE/Class 9/Mathematics/Surface Area and Volumes/NCERT Solutions/Exercise 13.7

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given h = 15 cm volume of cone = 1570 to find- radius (r) formula- volume of cone = 1570 = 3.14 * * 15 /3 1570 *3 = 3.14 * 15 * = 1570 * 3 / 3.14 * 15 =100 taking square roots on both sides , we get r = 10 cm
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h = 15 cm

volume of cone = 1570

to find- radius (r)


volume of cone = 

           1570     = 3.14 *  * 15 /3

     1570 *3 =  3.14 * 15 * 

                =   1570 * 3 / 3.14 * 15 


taking square roots on both sides , we get 

     r = 10 cm

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We are given with height, h=15cm, Volume, V= 1570 cm³, And we know that volume of cone, V = 1/3πr²h. ⇒ r² = 3V/πh ⇒ r² = 3 x 1570/ 3.14 x 15 = 100 ⇒ r = 10cm.

The volume of the cone = 1/3πr²h = 1570 ⇒1/3 × 3.14 × r² × 15 = 1570 ⇒r² = 1570/15.7 = 100 ∴ r = √100 = 10 cm. ∴ radius of the base = 10 cm.

Experienced Maths Teacher

V = πr²h/3 1570 = 3.14*r²*15/3 1570 = 15.7r² r² = 100 r = 10 cm

Radius 10 cm

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