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?
Close

Information: IM 8.5.13 Practice: The Volume of a Cylinder