Question

the radius of a sphere is 1.5 cm it is melted and recast into smaller spheres radii of two of them are 0.75cm and 1cm find the radius of the third sphere​

Answer 1

Answer:

here is ur answer

Step-by-step explanation:

Volume of the large ball of radius 3 cm

=

3

4

×

7

22

×3×3×3=

7

792

cm

3

Total volume of the two smaller balls of radii 1.5 cm and 2 cm

3

4

×

7

22

×

2

3

×

2

3

×

2

3

+

3

4

×

7

22

×2×2×2

[∴V=

3

4

πr

3

]

3

4

×

7

22

(

8

27

+8)=

3

143

cm

3

∴ Volume of the third ball

=

7

792

−

3

143

=

21

2376−1001

21

1375

cm

3

Let r be the radius of the 3rd ball

∴

3

4

×

7

22

×r

3

=

21

1375

r

3

21

1375

×

4

3

×

22

7

=

8

125

∴r=

3

8

125

=

2

5

cm

Hence diameter =2r=2×

2

5

=5cm