Respuesta :
Step-by-step explanation:
S.A = 465
4πr²= 465
r². = 36.9
r. = 6.08
volume of a sphere = 4/3πr³
= 4/3π * 6.08³
= 941.8 cm³
The radius of the sphere will be 6.08 units. Then the volume of the sphere will be 942.87 cubic units.
What is the volume of the sphere?
A circular solid object or its surface whose points are all equally spaced from the center.
Let r be the radius of the sphere.
Then the volume of the sphere will be
V = 4/3 πr³ cubic units
The surface area of the sphere will be 465 square units.
The surface area of the sphere is given as,
SA = 4πr²
Then the radius of the sphere will be
4πr² = 465
r² = 37
r = 6.08 units
Then the volume of the sphere will be
V = 4/3 π (6.08)³
V = 4/3 π x 225.09
V = 300 π
V = 942.87 cubic units
Thus, the volume of the sphere will be 942.87 cubic units.
More about the volume of the sphere link is given below.
https://brainly.com/question/9994313
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