henleybednar henleybednar
  • 17-05-2021
  • Mathematics
contestada

2. A great circle has a circumference of 83.92 cm. Find the Surface
Area and volume.

Respuesta :

oairtonsenna
oairtonsenna oairtonsenna
  • 17-05-2021

Answer:

Surface Area = 560.41 cm2

Volume (if it's a sphere) = 9979.71 cm3 or around 10 liters

Step-by-step explanation:

1. The circunference formula is C = 2 * π * R

2. If C = 83.92cm, R is 13.356 cm --> R = C / (2π)

3. The surface area formula is A = π * R * R

4. For R = 13.356 cm, A = 560.41 cm2

5. Sphere volume is V = (4/3) * π * R * R

6. For R = 13.356 cm, V = 9,979.71 cm3

7. 1,000 cm3 = 1 liter, so V is aprox. 10 Liters

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