futureLeBron
futureLeBron futureLeBron
  • 09-08-2021
  • Mathematics
contestada

the volume of hemisphere is 1527.4cm^3.find the radius of the hemisphere to the nearest whole whole number.(take π to be 22/7)​

Respuesta :

elroyrebello13
elroyrebello13 elroyrebello13
  • 09-08-2021

Answer:

radius of the hemisphere = 9 cm approx

Step-by-step explanation:

Volume of hemisphere = [tex]\frac{2}{3} \pi r^{3}[/tex]

1527.4 = [tex]\frac{2}{3} * \frac{22}{7} * r^{3}[/tex]

[tex]\frac{7*15274*3}{2*22*10}[/tex] = [tex]r^{3}[/tex]

[tex]\frac{320754}{440}[/tex] = [tex]r^{3}[/tex]

[tex]r^{3}[/tex] = 729

r = [tex]\sqrt[3]{729}[/tex]

r = 9 cm approx.

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