gianpaolo0810 gianpaolo0810
  • 27-04-2020
  • Mathematics
contestada

19. Find the base circumference of a cone with
height 5 cm and volume 125cm3.

Respuesta :

mysticchacha
mysticchacha mysticchacha
  • 29-04-2020

Answer:

circumference = 30.6998 cm

Step-by-step explanation:

Use the formula

Volume = (1/3) * π * r^2 * h

We have:

125 cubic cm =  (1/3) *π * r^2 * 5 cm

solve for the radius r

3 * 125 / (5* π)   =  r^2

r^2 =   75/π

r =  square root ( 75/π ) cm  = 4.886 cm

circumference =   2*π*r  =  2*π *  ([tex]\sqrt{75/pi\\}[/tex] ) =   2 * 5 * root(3 * pi)=  30.6998 cm

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