Question

)The volume of two spheres is shown: Sphere A = 30 cubic inches Sphere B = 10 cubic inches How many inches more is the radius of sphere A than the radius of sphere B? Round your answer to the nearest tenths. (Use π = 3.14.)

Answer 1

The correct answer is 0.8 in....

Answer 2

The volume of a sphere is calculated through the equation,
V = 4πr³/3
Which means that the radius is calculated by the equation,
(3V/4π)^(1/3) = r
Substituting,
Sphere A, (3x30/4π)^(1/3) = r = 1.927 in
Sphere B, (3x10/4π)^(1/3) = r = 1.336 in
When we subtract the radius, we get an answer of 0.59 inch. Therefore, the answer to this item is approximately 0.6 inch.