Respuesta :
Answer:
v=4/3πr^3
36π=4/3πr^3
3/4(36π)=(4/3πr^3)3/4
27π=πr^3
π(27π)=r^3
27=r^3
square root
r=3
s.a=4πr^2
s.a=4π(3^2)
s.a=4π(9)
s.a=36π
Step-by-step explanation:
The volume of a sphere is (4*pi*^3)/3
(4pir^3)/4 = 36pi
4pir^3 = 108pi
pir^3 = 27pi
r^3 = 27
r = 3
The surface area of a sphere is 4pir^2
Substitute r = 3 into 4pir^2
4pi * 9 = 36pi
(4pir^3)/4 = 36pi
4pir^3 = 108pi
pir^3 = 27pi
r^3 = 27
r = 3
The surface area of a sphere is 4pir^2
Substitute r = 3 into 4pir^2
4pi * 9 = 36pi