Ask Question
25 March, 05:50

A sphere has a volume of 4,500π cubic inches. What is the radius of the sphere?

+1
Answers (1)
  1. 25 March, 09:29
    0
    15 in

    Step-by-step explanation:

    The formula for the volume of a sphere is V = (4/3) πr³. Here we're working backwards in that we have the volume but need to determine the radius.

    Let (4/3) πr³ = 4500π. Simplifying, (4/3) r³ = 4500

    Multiplying both sides by 3/4 yields r³ = 3375 in³.

    Taking the cube root of both sides, we get

    r = ∛3375 = 15 in

    The radius of this sphere is 15 in.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “A sphere has a volume of 4,500π cubic inches. What is the radius of the sphere? ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers