Question

A spherical ball is divided into two equal halves. If the curved surface area of each half is 56.57 cm?, find the volume of the spherical ball.​

Answer 1

Answer:

since curved surface of half of the spherical ball = 56.57 cm2

∴ 2πr2 = 56.57

⇒ r2 = 56.57 / 2 × 3.14 = 9

⇒ r = 3 cm

Now, volume of spherical ball = 4 / 3 πr3

= 4 / 3 × 3.14 × 3 × 3 × 3

= 113.04 cm3

Answer 2

Answer:

The surface area of a sphere is

4πr2

So half a sphere is 2πr2

If the surface area of half a sphere is 56.57 cm2, we can solve for the radius, r.

56.57 = 2(3.14)r2

r2 = 9

r = 3

Now the volume of a sphere is v = 4/3 πr3

v = 4/3 (3.14)(33) = 113,04 cm3

Step-by-step explanation:

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