The volume of a spherical balloon with radius 3.5 cm is about 180 cmcubed. Estimate the volume of a similar balloon with radius 7.0 cm.

Answer 1

The volume of a sphere is given by the formula V = (4/3)πr^3, where r is the radius of the sphere.

For the first balloon with radius 3.5 cm:
V1 = (4/3)π(3.5)^3
V1 ≈ 180 cm^3

Now, we can estimate the volume of the second balloon with radius 7.0 cm using the same formula:
V2 = (4/3)π(7.0)^3
V2 = 8(4/3)π(3.5)^3
V2 ≈ 8(180)
V2 ≈ 1440 cm^3

Therefore, the estimated volume of the second balloon with radius 7.0 cm is about 1440 cm^3.