Jahleyiaaa Jahleyiaaa
  • 18-01-2021
  • Mathematics
contestada

a cone has a volume of 1,570in3. If the height of the cone is 15 inches. Calculate the radius of the cone?

Respuesta :

vchijioke04
vchijioke04 vchijioke04
  • 18-01-2021

Answer:

approximately 10

Step-by-step explanation:

Volume = 1/3h times [tex]\pi[/tex] times radius square

1570 = 1/3 x 15 x 22/7 x [tex]r^{2}[/tex]

1570 = 5 times [tex]\frac{22}{7}[/tex] times [tex]r^{2}[/tex]

1570 = 15.71[tex]r^{2}[/tex]

[tex]\frac{1570}{15.71}[/tex] = [tex]\frac{15.71 r^{2}}{15.71}[/tex]

99.9 = r^2

[tex]\sqrt{99.9}[/tex] = r

≅10

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