SOLUTION: When sawdust is poured into a pile, it takes the shape of a cone where the proportion of height to base diameter is always the same. The volume of a cone can be found using the for

Question 1156126: When sawdust is poured into a pile, it takes the shape of a cone where the proportion of height to base diameter is always the same. The volume of a cone can be found using the formula
V=1/3πr^2h, where r
is the radius of the base circle, and h
is the height of the cone.
A particular sawdust pile has a base diameter of 35 feet when the height is 30 feet. Find the volume of this sawdust pile when it is 45 feet high.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
V=1/3πr^2h, where r
is the radius of the base circle, and h
is the height of the cone.
A particular sawdust pile has a base diameter of 35 feet when the height is 30 feet. Find the volume of this sawdust pile when it is 45 feet high.
V=1/3πr^2h
V=(1/3)*π (17.5)^2 * 30
V =9621.12
9621.127 = (1/3)*π * r^2 * 45
r^2 = 9621.127*3/ ( pi * 45)
r^2 =204.16
r= 14.29 ft
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