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 more water is in the larger balloon than in the smaller balloon? Use 3.14 to approximate pi. Round to the nearest hundredth if necessary.

Answer 1

The answer is 791.28 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