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.) (1 point)
Group of answer choices

0.6 inch

1.3 inches

1.9 inches

20.0 inches

Answer 1

≈ 1.3 inches

Explanation:

Given that:

• Sphere A = 30 cubic inches
• Sphere B = 10 cubic inches

As we know, the formula to find the volume of a sphere is;

V = π
`(4)/(3) r^(3)`

So we have:

• Sphere A = 30 cubic inches

<=> π
`(4)/(3) r^(3)` = 30

<=>
`r^(3)` = 90/4π

<=> r ≈ 4.13

• Sphere B = 10 cubic inches

<=> π
`(4)/(3) r^(3)` = 10

<=>
`r^(3)` = 30/4π

<=> r ≈ 2.86

So the different between the radius of sphere A and B is:

= 4.13 - 2.86

= 1.27

≈ 1.3 inches