Answer:
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
[tex]r=88\times\frac{7}{2\times22}[/tex]
r = 2 × 7
r = 14 cm
Volume of the sphere = [tex]\frac{4}{3}\pi r^3[/tex]
= [tex]\frac{4}{3}\times\frac{22}{7}\times14^3[/tex]
= [tex]\frac{4}{3}\times22\times14^2\times2[/tex]
= 11498.7 cm³
Therefore, Radius of the sphere is 14 cm and Volume of the sphere is 1498.7 cm³.
