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An auto tunnel through a mountain is being planned. It will be in the shape of a semicircular cylinder with a radius of 10 m and a length of 2 km. How many cubic meters of dirt will need to be removed? , If the bed of each dump truck has dimensions 2.2. mby 4.8 m by 1.8 m, how mnay loads will be required to carry away the dirt? Explain.
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Steps: 1) Calculate the volume of a cylinder of radius 10, and length 2km, and divide by 2. This will give the volume of the semicircular cylinder. 2) Calculate the volume of the dump truck. 3) Divide the volume of the tunnel (semicircular cylinder) by the volume of the truck to find out how many trucks are needed. Post your answers to each step !
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