What is the volume of a sphere with a surface area of 25pi
Accepted Solution
A:
Answer:(125/6)π units³Step-by-step explanation:The formula for the surface area of a sphere is A = 4πr². Solving this for r² yields: A r² = ------ 4πand in this case r² is: 25π r² = ---------, or 25/4 units² 4πThus, the radius, r, is 5/2 units.The volume of a sphere of radius r is V = (4/3)πr³ units³Here, that volume is V = (4/3)π(5/2)³ units³ 4π 125 units³ = ------ · ------------------ = (125/6)π units³ 3 8