Topic: Rational and Irrational Numbers (roots)
Part A
The pyramids have always fascinated Kr...
Mathematics, 22.04.2021 08:00 eddyy5900
Topic: Rational and Irrational Numbers (roots)
Part A
The pyramids have always fascinated Kristina, so she wants to build two model pyramids to put on her mantel. She wants her model of Khufu’s pyramid to have a volume of 73.5 cubic inches and a height of 4.5 inches. What would the side length of the base of the pyramid be? Is this number rational or irrational? Why?
Part B
The volume of Khafre’s pyramid is about 9/10 the volume of Khufu’s pyramid. If Kristina wants to make the second model pyramid so its volume is 9/10 the volume of the first model pyramid, what volume should she make the second model pyramid?
Part C
If the height is 4.41 inches and the volume is the volume found in Part B, what will the side length of the pyramid’s base be? Is the number rational or irrational? Why?
Part D
For the model to be to scale, the ratio of the height to the side length should be the same for both the actual pyramid and the model. Is the model of Khufu’s pyramid to scale? If not, is it close?
Part E
Is the model of Khafre’s pyramid to scale? If not, is it close?
(need this witthin 10 days)
Answers: 3
Mathematics, 21.06.2019 13:30
Drag and drop the answers into the boxes to complete this informal argument explaining how to derive the formula for the volume of a cone. since the volume of a cone is part of the volume of a cylinder with the same base and height, find the volume of a cylinder first. the base of a cylinder is a circle. the area of the base of a cylinder is , where r represents the radius. the volume of a cylinder can be described as slices of the base stacked upon each other. so, the volume of the cylinder can be found by multiplying the area of the circle by the height h of the cylinder. the volume of a cone is of the volume of a cylinder. therefore, the formula for the volume of a cone is 1/3 1/2 1/3πr^2h 1/2πr^2h πr^2h πr^2
Answers: 3
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