The perimeter of the largest cross section of a sphere is 88 centimeters.
find the radius and volume of the sphere.

Radius of the sphere is 14 cm and Volume of the sphere is 1498.7 cm³.

Step-by-step explanation:

Given Perimeter of the largest cross section of the sphere = 88 cm.

We have to find Radius of the sphere and Volume of the sphere.

We know that Largest Cross section of the sphere is a circle whose radius is same as of sphere.

let r be the radius of cross sectional circle or sphere.

Now,

Circumference of circle = 88 cm

2πr = 88

r = 2 × 7

r = 14 cm

Volume of the sphere =

                                    =  

                                    =  

                                    =  11498.7 cm³

Therefore, Radius of the sphere is 14 cm and Volume of the sphere is 1498.7 cm³.

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