dannnaa
dannnaa dannnaa
  • 23-04-2019
  • Mathematics
contestada

NEED HELP ASAP.

a sphere has a surface area of 36pi ft2. find the volume of the sphere.

Respuesta :

alexab1023
alexab1023 alexab1023
  • 23-04-2019

Answer:

Approximately: 200.76π or 630.39

Step-by-step explanation:

Surface area for sphere formula: A = 4π(r^2)

36π = 4(r^2)

(36/4)π = [4(r^2)]/4

9π = r^2

28.26 = r^2 (since π equals 3.14)

√28.26 = √r^2

r ≈ 5.32

Volume for sphere formula: V = 4/3(π)(r^3)

V = 4/3(π)(5.32^3)

V ≈ 4/3(π)(150.57)

V ≈ 200.76π

or

V ≈ 630.39

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