Determine the volume of the sphere and the area of the sphere if the radius is 2.5 cm.

1) Let’s calculate the volume of the ball.
A sphere is called a spatial body. The ball inside is filled with something, so it has volume.
The formula for the volume of a ball is as follows:
V = 4/3 × π × r³,
where r is the radius of the ball, π = 3.14.
Find the volume of the sphere by substituting the known values ​​of the radius and π into the formula:
V = 4/3 × 3.14 × 2.5³ = 4/3 × 49.06 = (4 × 49.06) / 3 = (196.24) / 3 = 65.41 cm³
2) Calculate the area of ​​the sphere.
A sphere is the surface of a ball, so the surface area of ​​a sphere can be found.
Let’s write the formula for the surface area of ​​a sphere:
S = 4πr²,
We calculate the surface area of ​​a sphere, substituting the known values ​​of the radius and π into the formula:
S = 4 × 3.14 × 2.5² = 12.56 × 6.25 = 78.5 cm².
Answer: the volume of the ball is 65.41 cm³, and the area of ​​the sphere is 78.5 cm².



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