Question

Two spherical balloons are filled with water. The first balloon has a radius of 3 cm, and the second has a radius of 6 cm. How much greater is the volume of water in the larger balloon than in the smaller balloon? Use 3.14 to approximate pi. Round to the nearest hundredth if necessary. Enter your answer in the box.

Answer 1

791.28

Explanation:

I just finished the test. The other answer was rounded wrong.

Answer 2

The answer is 791.28 cm³ ≈ 791.3 cm³

To calculate this we need to calculate the volume of each balloon.
The volume of a sphere with radius r is:
V = 4/3 π r³

Balloon 1:
r1 = 3 cm
V1 = 4/3 * 3.14 * 3³
V1 = 113.04 cm³


Balloon 2:
r2 = 6 cm
V2 = 4/3 * 3.14 * 6³
V2 = 904.32 cm³

How much more water is in the larger balloon than in the smaller balloon:
V2 - V1 = 904.32 cm³ - 113.04 cm³
= 791.28 cm³
≈ 791.3 cm³