Question

*9. The sum of radius of two spheres is 10
cm. The sum of their volumes is 880 cc.
Find the product of their radius.​

Answer 1

Answer:

Step-by-step explanation:

Step-by-step explanation:

V1 + V2 = (4*pi/3)(R1^3 + R2^3)

= (4*pi/3)((R1 + R2)^3- 3(R1*R2)(R1 + R2))

thus

880 = (4*pi/3)(1000 - 30(R1*R2)

660/(pi) = 1000 - 30(R1*R2)

660*7/22 = 1000 - 30(R1*R2)

210 = 1000 - 30(R1*R2)

30(R1*R2) = 790

R1*R2 = 79/3

Answer 2

Answer:

The product of their radius is 79/3 ( solved in the uploaded photo)

Extra information-

${(a }^{3} + {b}^{3} ) \\ = {(a + b)}^{3} - 3ab(a + b)$