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identify the volume of a sphere if it has a surface area of 465 square units

Sagot :

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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