Ask Question
20 November, 14:11

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

+3
Answers (1)
  1. 20 November, 14:27
    0
    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.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “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 ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers