what is the volume of a sphere that has a surface area of 90,790 cm squared?
The formula for the surface area of a sphere is: SA = 4·π·r²
The formula for the volume of a sphere is: V = 4/3·π·r³
Use the surface area to find the radius:
SA = 4·π·r²
90790 = 4·π·r² ---> r² ≈ 7224.8386 ---> r ≈ 85 cm
Now, put that value into the formula for the volume of a sphere:
V = 4/3 ·π·(85)³
and finish ...
Go to formulary and click on sphere. I'm not sure if we can do it with one formula, but you can combine them.
The formula for the surface area of a sphere is: SA = 4·π·r²
The formula for the volume of a sphere is: V = 4/3·π·r³
Use the surface area to find the radius:
SA = 4·π·r²
90790 = 4·π·r² ---> r² ≈ 7224.8386 ---> r ≈ 85 cm
Now, put that value into the formula for the volume of a sphere:
V = 4/3 ·π·(85)³
and finish ...