Consider a tank in the shape of a pyramid with height 15 m and a square base of length 4 m. The base is sitting on the ground. It is partially filled with water --- the water is 5 m deep. (A). Sketch the pyramid, choose a coordinate system, and label it on the sketch. Slice the pyramid into horizontal slices each with height Ax cm and sketch one of the slices. (B). Find the approximate volume of the slice that is a vertical distance ; cm from the tip (or base) of the pyramid. The only variables in your answer should be a; and Ax. (C). Set up, but do not evaluate, a definite integral that calculates the volume of water inside the tank. (Recall that the water is 5 m deep.). Choose the correct integral from the list below. 5 84 O Volume of the water in the tank -x² dx 225 1 O 2 Volume of the water in the tank x² dx 9 5 O Volume of the water in the tank x² dx 15 5 4 O Volume of the water in the tank x² dx 15 O Volume of the water in the tank S 16 x² dx 225

Consider a tank in the shape of a pyramid with height 15 m and a square base of length 4 m. The base is sitting on the ground. It is partially filled with water --- the water is 5 m deep. (A). Sketch the pyramid, choose a coordinate system, and label it on the sketch. Slice the pyramid into horizontal slices each with height Ax cm and sketch one of the slices. (B). Find the approximate volume of the slice that is a vertical distance ; cm from the tip (or base) of the pyramid. The only variables in your answer should be a; and Ax. (C). Set up, but do not evaluate, a definite integral that calculates the volume of water inside the tank. (Recall that the water is 5 m deep.). Choose the correct integral from the list below. 5 84 O Volume of the water in the tank -x² dx 225 1 O 2 Volume of the water in the tank x² dx 9 5 O Volume of the water in the tank x² dx 15 5 4 O Volume of the water in the tank x² dx 15 O Volume of the water in the tank S 16 x² dx 225

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.CR: Review Exercises

Problem 2CR: The base of a right prism is a triangle whose sides measure 7cm, 8cm and 12cm. The altitude of the...

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