A spherical metal ball of radius 8 cm is melted to make 8 smaller
identical balls. The radius of each new ball is
cm.
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Answer:
ans-1
Step-by-step explanation:
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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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