IM 8.5.15 Lesson: The Volume of a Cone

The cone and cylinder have the same height, and the radii of their bases are equal.
[img]data:image/png;base64,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[/img][br]Which figure has a larger volume?
Do you think the volume of the smaller one is more or less than [math]\frac{1}{2}[/math] the volume of the larger one? Explain your reasoning.
Here is a method for quickly sketching a cone:
[br][img]data:image/png;base64,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[/img][br][br][list][*]Draw an oval.[/*][*]Draw a point centered above the oval.[/*][*]Connect the edges of the oval to the point.[/*][/list][br]Which parts of your drawing would be hidden behind the object?
Sketch two different sized cones. The oval doesn’t have to be on the bottom! For each drawing, label the cone’s radius with r and height with h. Make the hidden parts dashed lines.
A cone and cylinder have the same height and their bases are congruent circles.
[br][img]data:image/png;base64,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[/img][br]If the volume of the cylinder is 90 cm[sup]3[/sup], what is the volume of the cone?[br]
If the volume of the cone is 120 cm[sup]3[/sup], what is the volume of the cylinder?[br]
If the volume of the cylinder is [math]V=\pi r^2h[/math], what is the volume of the cone? Either write an expression for the cone or explain the relationship in words.
Here is a cylinder and cone that have the same height and the same base area.
[img]data:image/png;base64,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[/img][br]What is the volume of each figure? Express your answers in terms of [math]\pi[/math].
Here is a cone.
[img]data:image/png;base64,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[/img][br]What is the area of the base? Express your answer in terms of [math]\pi[/math].[br]
What is the volume of the cone? Express your answer in terms of [math]\pi[/math].[br]
A cone-shaped popcorn cup has a radius of 5 centimeters and a height of 9 centimeters.
How many cubic centimeters of popcorn can the cup hold? Use 3.14 as an approximation for [math]\pi[/math], and give a numerical answer.
A grain silo has a cone shaped spout on the bottom in order to regulate the flow of grain out of the silo. The diameter of the silo is 8 feet. The height of the cylindrical part of the silo above the cone spout is 12 feet while the height of the entire silo is 16 feet.[br][img]data:image/png;base64,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[/img][br]How many cubic feet of grain are held in the cone [b]spout [/b]of the silo?
How many cubic feet of grain can the [b]entire[/b] silo hold?

IM 8.5.15 Practice: The Volume of a Cone

[size=150]A cylinder and cone have the same height and radius. The height of each is 5 cm, and the radius is 2 cm. Calculate the volume of the cylinder and the cone.[/size]
The volume of this cone is 36π cubic units.
[img]data:image/png;base64,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[/img][br]What is the volume of a cylinder that has the same base area and the same height?
A cylinder has a diameter of 6 cm and a volume of 36π cubic centimeters. Sketch the cylinder below. Label the height and radius.
What are the values of the height and radius in centimeters?[br]
Lin wants to get some custom T-shirts printed for her basketball team. Shirts cost $10 each if you order 10 or fewer shirts and $9 each if you order 11 or more shirts. Make a graph that shows the total cost of buying shirts, for 0 through 15 shirts
There are 10 people on the team. Do they save money if they buy an extra shirt? Explain your reasoning.
What is the slope of the graph between 0 and 10? What does it mean in the story?
What is the slope of the graph between 11 and 15? What does it mean in the story?
In the following graphs, the horizontal axis represents time and the vertical axis represents distance from school. Write a possible story for the graph.
[img]data:image/png;base64,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[/img]
[img]data:image/png;base64,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[/img]
[img]data:image/png;base64,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[/img]

Information