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6 October, 00:56

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

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Answers (1)
  1. 6 October, 03:32
    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
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