radomes.openskiesproject.org
celierain celierain
  • 30-12-2016
  • Mathematics
Answered

The volume of a sphere is 3,000pi m cubed. What is the surface area of the sphere to the nearest square meter?

Verified Answer :

apologiabiology
apologiabiology apologiabiology
  • 30-12-2016

V=(4/3)pir³
SA=4pir²



3000pi=(4/3)pir³
divide both sides by pi
3000=(4/3)r³
times both sides by 3
9000=4r³
divide both sides by 4
2250=r³
cube root both sides
5∛18=r

SA=4pir²
SA=4pi(5∛18)²
SA=4pi25(3∛12)
SA=300pi∛12
aprox
2157.7
round
2158

the surface area is 2158 m²



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