How many more square inches of paint is required to cover a ball whose radius is

76
76 inches than a ball whose radius is
22
22 inches? Use 3.14 for π.

1 answer

The surface area of a sphere is given by the formula 4πr^2.

For a sphere with a radius of 22 inches, the surface area is 4 * 3.14 * 22^2 = 4 * 3.14 * 484 = 6067.52 square inches.

For a sphere with a radius of 76 inches, the surface area is 4 * 3.14 * 76^2 = 4 * 3.14 * 5776 = 72398.08 square inches.

The difference in surface area between the two spheres is 72398.08 - 6067.52 = 66330.56 square inches.

Therefore, 66330.56 more square inches of paint is required to cover a ball whose radius is 76 inches than a ball whose radius is 22 inches.