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

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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