A sphere has a radius of 11 feet. A second sphere has a radius of 8 feet. what is the difference of the volume of the spheres

Mathematics

1 answer:

Rufina [12.5K]3 years ago

5 0

Answer:

1092π ft³

Step-by-step explanation:

The formula for the volume of a sphere is

V = ⁴/₃πr³

1. Volume of larger sphere

V₁ = ⁴/₃π (11)³ = ⁴/₃π × 1331 = 1774⅔π ft³

2. Volume of smaller sphere

V₂ = ⁴/₃π (8)³ = ⁴/₃π × 512 = 682⅔π ft³

3. Difference of volumes

V₁ - V₂ = 1774⅔π ft³ - 682⅔π ft³ = 1092π ft³ ≈ 3431 ft³

The difference of volumes of the spheres is 1092π ft³.

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