Math, asked by jatinrupali8, 9 months ago

A spherical metal ball of radius 8 cm is melted to make 8 smaller
identical balls. The radius of each new ball is
cm.​

Answers

Answered by kanheya7
16

Answer:

ans-1

Step-by-step explanation:

Answered by Agastya0606
3

Given: A spherical metal ball of radius 8 cm

To find: Radius of new ball which is formed by melting the old ball.

Solution:

  • Since we have the radius of the ball, we can find the volume of the ball.
  • For that, volume of sphere(ball) is:

               4/3 (πr³)

  • Putting the value of r in the formula we get:

               4/3 (3.14 x (8)³)

  • Lets keep this as it is.
  • Now this ball is melted and 8 new balls are formed, so the area of that balls will be:

              8 {4/3 (πR³)}   .....( 8 because 8 balls are made)

  • So now we can equate both the volumes,

             4/3 (3.14 x (8)³) = 8 {4/3 (πR³)}

  • Cancelling 4/3, 8 and π from both sides, we get:

           (8)² = R³

           R³ = 64

           = 4³

          R = 4 cm

Answer:        

                So the radius of the new ball is 4 cm

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