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briscoeaj briscoeaj
  • 18-03-2016
  • Mathematics
Answered

a water tank is in the shape of a right triangular cylinder with a height of 20 feet and a volume of 320(3.14) cubic feet. what is the diameter, in feet, of the water tank?

Verified Answer :

VD4L
VD4L VD4L
  • 18-03-2016

We know the formula for the volume and the only variable we do not know is the radius (2r=diameter)
Therefore by isolating r and multiplying it by 2, we will find tge diameter

V= (h(pi)r^2)/3
320(pi)=(20(pi)r^2)/3
3*320(pi)=20(pi)r^2
960/20=r^2
48=r^2
Sqrt(48)=r

Diameter = 2(sqrt48)

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