Question

(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

Answer 1

0.08 inches

Explanation:

Do you go to vlacs??? bc i dooo

Answer 2

0.8 inches

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

V =
`(4)/(3)`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 )