Two spheres are cut from a certain uniform rock. One has radius 4.50cm. The mass of the other is five times greater. Find its radius. Give answer to 2 decimal places.
Let's denote the radius of the second sphere as x cm.
The mass of a sphere is directly proportional to the cube of its radius. Therefore, if the radius of the second sphere is x cm and its mass is five times greater than the first sphere, we can set up the following equation:
5(4/3 * π * (4.50)^3) = 4/3 * π * x^3
Solving for x, we get:
5(4.50)^3 = x^3
x = (5(4.50)^3)^(1/3)
x ≈ 6.63 cm
Therefore, the radius of the second sphere is approximately 6.63 cm.