IM 8.5.13 Lesson: The Volume of a Cylinder
Here is a circle. Points [math]A[/math], [math]B[/math], [math]C[/math], and [math]D[/math] are drawn, as well as Segments [math]AD[/math] and [math]BC[/math].[br][img]data:image/png;base64,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[/img][br][br]What is the area of the circle, in square units? Select all that apply.
If the area of a circle is [math]49\pi[/math] square units, what is its radius? Explain your reasoning.
What is the volume of each figure, in cubic units? Even if you aren’t sure, make a reasonable guess.
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[/img][br][br]Figure A: A rectangular prism whose base has an area of 16 square units and whose height is 3 units.
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[/img][br][br]Figure B: A cylinder whose base has an area of 16[math]\pi[/math] square units and whose height is 1 unit.
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[/img][br][br]Figure C: A cylinder whose base has an area of 16[math]\pi[/math] square units and whose height is 3 units.
Here are solids that are related by a common measurement. In each of these solids, the distance from the center of the base to the furthest edge of the base is 1 unit, and the height of the solid is 5 units. Use 3.14 as an approximation for pi.
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[/img][br]Find the area of the square base and the circular base.
Use these areas to compute the volumes of the rectangular prism and the cylinder. How do they compare?
Without doing any calculations, list the figures from smallest to largest by volume. Use the images and your knowledge of polygons to explain your reasoning.
The area of the hexagon is approximately 2.6 square units, and the area of the octagon is approximately 2.83 square units. Use these areas to compute the volumes of the prisms with the hexagon and octagon bases. How does this match your explanation to the previous question?
For cylinders A–D, sketch a radius and the height. Label the radius with an r and the height with an h.
Earlier you learned how to sketch a cylinder. Sketch cylinders for E and F and label each one’s radius and height.
Here is a cylinder with height 4 units and diameter 10 units. Shade the cylinder's base.
What is the area of the cylinder’s base? Express your answer in terms of [math]\pi[/math].
What is the volume of this cylinder? Express your answer in terms of [math]\pi[/math].
A silo is a cylindrical container that is used on farms to hold large amounts of goods, such as grain. On a particular farm, a silo has a height of 18 feet and diameter of 6 feet. Make a sketch of this silo and label its height and radius.
How many cubic feet of grain can this silo hold? Use 3.14 as an approximation for [math]\pi[/math].
One way to construct a cylinder is to take a rectangle (for example, a piece of paper), curl two opposite edges together, and glue them in place.
[img]data:image/png;base64,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[/img][br][br]Which would give the cylinder with the greater volume: Gluing the two dashed edges together, or gluing the two solid edges together?
IM 8.5.13 Practice: The Volume of a Cylinder
Sketch a cylinder. Label its radius 3 and its height 10. Shade in one of its bases.
[size=150]At a farm, animals are fed bales of hay and buckets of grain. Each bale of hay is in the shape a rectangular prism. The base has side lengths 2 feet and 3 feet, and the height is 5 feet. Each bucket of grain is a cylinder with a diameter of 3 feet. The height of the bucket is 5 feet, the same as the height of the bale.[/size][br][br]Which is larger in area, the rectangular base of the bale or the circular base of the bucket? Explain how you know.
Which is larger in volume, the bale or the bucket? Explain how you know.
Three cylinders have a height of 8 cm. Cylinder 1 has a radius of 1 cm. Cylinder 2 has a radius of 2 cm. Cylinder 3 has a radius of 3 cm. Find the volume of each cylinder.
A one-quart container of tomato soup is shaped like a rectangular prism. A soup bowl shaped like a hemisphere can hold 8 oz of liquid. How many bowls will the soup container fill? Recall that 1 quart is equivalent to 32 fluid ounces (oz).
Match each set of information about a circle with the area of that circle.
Circle A has a radius of 4 units.
Circle B has a radius of 10 units.
Circle C has a diameter of 16 units.
Circle D has a circumference of 4 π units.
Two students join a puzzle solving club and get faster at finishing the puzzles as they get more practice. Student A improves their times faster than Student B.
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[/img][br]Match the students to the Lines [math]l[/math] and [math]m[/math].[br]Student A:
Student B:
Which student was faster at puzzle solving before practice?