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Theater A stage crew is assembling a three-level semi-circular platform on a stage for a performance. The platform has the dimensions shown in the diagram and a total volume of 448 pi cubic feet. a. What is the volume, in terms of x, of each of the three levels of the platform? Hint: V=pi r^(2) h b. Use what you know about the total volume to write an equation involving x. c. Solve the equation from part (b). d. Use your solution from part (c) to calculate the dimensions (radius and height) of each of the levels of the platform.

2828. Theater A stage crew is assembling a three-level semi-circular platform on a stage for a performance. The platform has the dimensions shown in the diagram and a total volume of 448π 448 \pi cubic feet.\newlinea. What is the volume, in terms of x x , of each of the three levels of the platform? Hint: V=πr2h V=\pi r^{2} h \newlineb. Use what you know about the total volume to write an equation involving x x .\newlinec. Solve the equation from part (b).\newlined. Use your solution from part (c) to calculate the dimensions (radius and height) of each of the levels of the platform.

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