SOLUTION: Suppose a town wants to design two landfills shaped as a cone and a cylinder. The base diameter and the volume of both designs will be the same. Which statement is true? A. The hei

Question 337507: Suppose a town wants to design two landfills shaped as a cone and a cylinder. The base diameter and the volume of both designs will be the same. Which statement is true? A. The height of both designs are the same.
B. The height of the cylinder will be 3 times the height of the cone.
C. The height of the cone will be 3 times the height of the cylinder.
D. The volume cannot be the same when the bases have the same diameter.
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
V(cyl)=pi*r^2h
V(cone)=(pi*r^2h)/3
.
pi*r^2h=(pi*r^2h)/3 The volumes are equal (given).
h[cyl]=h[cone]/3 Since pi*r^2 are equal (given).
3h[cyl]=h[cone] Answer C.
.
Ed
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