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2. The dirt piles were not moved in time. More dirt was added to each pile. It has also rained overnight. This changed the shape
2. The dirt piles were not moved in time. More dirt was added to each pile. It has also rained overnight. This changed the shape of dirt piles and also the density of the dirt since the dirt has now absorbed some of the rain water. The 5 dirt piles each now have the shape of a frustum as shown in the picture below. (a) . The base radius of a frustum is measured to be 3.4 meters. . The height of the frustum is measured to be 1.2 meters. . The angle of repose is now 25. Use similar triangles to find the top radius of the frustum. Hint: It might help to think about "completing" the frustum so that it looks like a cone. (b) What is the volume of dirt that needs to be removed? (Remember there are still 5 dirt piles.) Hint: The volume of a frustum is V = wh(r + rR + R") Include units in your answer and round to the nearest hundredth. (c) The density of the wet dirt is about 1650 kilograms per cubic meter. How many kilograms of dirt need to be moved? (d) A pickup truck can carry 1 ton. How many pickup truck loads would be needed to move all of the dirt? Hint: 1 ton is about 907.2 kg. (e) A dump truck can carry 14 tons. How many dump truck loads would be needed to move all of the dirt
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