jmjackson911 jmjackson911
  • 23-05-2020
  • Mathematics
contestada

A sphere has a volume of 36π m3. Find the surface area of the sphere.

The options are :
28π m2
36π m2
42π m2
48π m2

Respuesta :

anas4645
anas4645 anas4645
  • 23-05-2020

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:

Answer Link
mrohugcc
mrohugcc mrohugcc
  • 23-05-2020
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
Answer Link

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