ensiah193
ensiah193 ensiah193
  • 24-01-2022
  • Mathematics
contestada

What is the volume (in cm^3) of a sphere with a circumference of 8.20 cm?

Respuesta :

semsee45
semsee45 semsee45
  • 24-01-2022

Answer:

9.31 cm³ (3 sf)

Step-by-step explanation:

Circumference of a sphere = circumference of a circle = 2[tex]\pi [/tex]r

⇒ 2[tex]\pi [/tex]r = 8.20 cm  

⇒ r = 8.20 ÷ 2[tex]\pi [/tex] = [tex]\frac{41}{10\pi } [/tex]

Volume of sphere = [tex]\frac{4}{3} \pi r^3[/tex]

                              = [tex]\frac{4}{3} \pi (\frac{41}{10\pi }) ^3[/tex]

                              = [tex]\frac{68921}{750\pi ^2} [/tex]

                              = 9.310876397... = 9.31 cm³ (3 sf)

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