Question

The surface area of a sphere is 346.5 CM square find its radius and hence its radius

Answer 1

Step-by-step explanation:

Given:

Surface Area of a Sphere = 346.5 cm²

Required to Find:

Radius of the Sphere and Volume of the Sphere

Solution:

Let the radius of the sphere be r units.

∵Surface Area of the Sphere = 4πr²

⇒346.5 = 4 × 3.14 × r²    [Taking π = 3.14]

⇒r² = 346.5/12.56

⇒r² ≈ 27.5875

⇒r =√27.5875

⇒r ≈ 5.25 cm

∴ Radius of the Sphere is 5.25 cm

∵ Volume of the Sphere = (4/3)πr³ unit³

                                         = (4/3) × 3.14 × (5.25)³ cm³    [Taking π = 3.14]

                                         ≈ 605.82 cm³  

Volume of the Sphere = 605.82 cm³

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