Lesson 13
The Volume of a Cylinder
Problem 1
- Sketch a cylinder.
- Label its radius 3 and its height 10.
- Shade in one of its bases.
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
Problem 2
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.
-
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.
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
Problem 3
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.
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
Problem 4
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).
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
(From Unit 5, Lesson 12.)Problem 5
Match each set of information about a circle with the area of that circle.
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
Problem 6
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.
- Match the students to the Lines \(\ell\) and \(m\).
- Which student was faster at puzzle solving before practice?
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
(From Unit 5, Lesson 8.)