Respuesta :
The volume of the sphere is 2143.57 cm³.
What is the surface area of the sphere?
A = 4 × π × r², where 'r' is the radius of the sphere.
What is the volume of the sphere?
V = (4/3) × π × r³
For given example,
a surface area of the sphere is 803.84 cm^2.
⇒ A = 803.84 cm²
Using the formula of the surface area of the sphere,
⇒ 4πr² = 803.84
⇒ r² = 64
⇒ r = 8 cm
Using the formula of the volume of the sphere,
⇒ V = (4/3) × π × r³
⇒ V = (4/3) × 3.14 × 8³
⇒ V = 2143.57 cm³
Therefore, the volume of the sphere is 2143.57 cm³.
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