Ask Question
16 April, 21:05

The surface area of a sphere is 64π square inches. Which equation can be used to solve for the radius of the sphere?

a. 64π = 4πr

b. 64π = 2πr3

c. 64π = 2πr2

d. 64π = 4πr2

+3
Answers (1)
  1. 17 April, 00:29
    0
    The answer is 85.33π cm³

    A) Calculate the radius of the sphere using the formula for the surface area.

    B) Calculate the volume of the sphere using the radius.

    A) The surface area (A) of a sphere with radius r is:

    A = 4π r²

    If A = 64π cm², then:

    64π cm² = 4π r²

    Divide both sides by π:

    64π cm² / π = 4π / π

    64 cm² = 4r²

    r² = 64 cm²/4

    r² = 16 cm²

    r = √16 cm²

    r = 4 cm

    B) The volume (V) of the sphere is:

    V = 4/3 π r³

    V = 4/3 π (4 cm) ³

    V = 4/3 π 64 cm³

    V = 85.33π cm³
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “The surface area of a sphere is 64π square inches. Which equation can be used to solve for the radius of the sphere? a. 64π = 4πr b. 64π = ...” 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