physics
Two solid spheres A and B are made from the same material. The mass of sphere B is eight times that of sphere A. If the radius of sphere A is 7.50 cm, what is the radius of sphere B? [Volume of a sphere of radius r is given by V = 4ðr63/3]
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The volume of a sphere is proportional to its radius cubed, so to find the radius of sphere B, we can calculate the ratio of the volume of sphere B to the volume of sphere A. The volume of sphere A is 4π(7.50 cm)3/3 = 14 91.96 cm3 The volume of sphere B is 8 times the volume of sphere A, so its volume is 8 x 14 91.96 cm3 = 1193.76 cm3. To find the radius of sphere B, we need to solve the equation 4πr3/3 = 1193.76 cm3, resulting in a radius of r = 8.48 cm. Therefore, the radius of sphere B is 8.48 cm.
