How many balls of radius 10cm can be made by melting a bigger ball of diameter 80cm?
- A64
- B128
- C32
- D48
Solution & Step-by-step Explanation
Given:
Radius of small ball (r) = 10cm
Diameter of bigger ball = 80cm⟹ Radius of bigger ball (R) =
2
80
=40cm
Let n be the number of small balls formed.
Volume of bigger ball=n×Volume of small ball
3
4
πR
3
=n×
3
4
πr
3
R
3
=n×r
3
40
3
=n×10
3
n=(
10
40
)
3
=4
3
=64
Thus, 64 balls can be made.
Radius of small ball (r) = 10cm
Diameter of bigger ball = 80cm⟹ Radius of bigger ball (R) =
2
80
=40cm
Let n be the number of small balls formed.
Volume of bigger ball=n×Volume of small ball
3
4
πR
3
=n×
3
4
πr
3
R
3
=n×r
3
40
3
=n×10
3
n=(
10
40
)
3
=4
3
=64
Thus, 64 balls can be made.