aristhomenealessia12
aristhomenealessia12 aristhomenealessia12
  • 02-10-2020
  • Mathematics
contestada

The volume of a sphere, V , is calculated

The volume of a sphere V is calculated class=

Respuesta :

jimrgrant1 jimrgrant1
  • 02-10-2020

Answer:

see explanation

Step-by-step explanation:

Given

V = [tex]\frac{4}{3}[/tex]πr³ ( multiply both sides by 3 to clear the fraction )

3V = 4πr³ ( divide both sides by 4π )

[tex]\frac{3V}{4\pi }[/tex] = r³ ( take the cube root of both sides )

r = [tex]\sqrt[3]{\frac{3V}{4\pi } }[/tex]

Given V = 100 , then

r = [tex]\sqrt[3]{\frac{300}{4\pi } }[/tex] ≠ 2.88 ft ( to the nearest hundredth )

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