Respuesta :
Area of a sphere is 4pr^2 and the volume of a sphere is (4pr^3)/3.
You are told that A=36 so
4pr^2=36
pr^2=9
r=(9/p)^(1/2)
Using this r in the volume equation we see that...
V=(4p/3)(9/p)^(3/2)
V~20.31in^3
You are told that A=36 so
4pr^2=36
pr^2=9
r=(9/p)^(1/2)
Using this r in the volume equation we see that...
V=(4p/3)(9/p)^(3/2)
V~20.31in^3
The maximum volume of the ball is 113.1 inches³.
What is the surface area of a spherical ball?
The surface area of a spherical ball indicates the area of the outer surface of the ball. If the ball has a radius of r, then the surface area of the ball = 4π × r².
What is the volume of a spherical ball?
The volume of a spherical ball indicates the space it has covered. If the radius of a spherical ball is r, then it's volume is (4/3)π × r³.
Given, the surface area of the spherical ball is 36 inches².
Therefore, 4π × r² = 36
⇒ r² = 9
⇒ r = 3 (the length can't be negative)
The volume of the spherical ball is
= (4/3)π × r³ = (4/3)π × (3)³ inches³ = 36π inches³ =113.1 inches³.
Learn more about the volume of a spherical ball here: https://brainly.com/question/16686115
#SPJ2
