Question

The sum of the radii of two spheres is 10 cm and the sum of their volumes is 880cm^3.What will be the product of their radii.

Answer 1

Answer:

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