(03.06 mc)the volume of two spheres is shown: sphere a = 40 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.) 2.1 inches 1.3 inches 0.8 inch 0.4 inch

0.8 inches

the volume (V) of a sphere is calculated using the formula

V = πr³

change the subject and express in terms of r

multiply both sides by 3

3V = 4πr³ ( divide both sides by 4π )

r³ = 3V / 4π ( take the cube root of both sides )

r = ∛( 3V /4π )

sphere A with V= 40

r = ∛ (120 / 12.56 ) = 2.122

sphere B with V = 10

r = ∛(30 / 12.56 ) = 1.337

sphere A - sphere B = 2.122 - 1.337 = 0.8 inches ( to nearest tenth )