Lesson 18
The Volume and Dimensions 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
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 4
Complete the table with all of the missing information about three different cylinders.
diameter of base (units) | area of base (square units) | height (units) | volume (cubic units) |
---|---|---|---|
4 | 10 | ||
6 | \(63 \pi\) | ||
\(25 \pi\) | 6 |
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
Problem 5
A cylinder has volume \(45\pi\) and radius 3. What is its height?
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
Problem 6
Three cylinders have a volume of 2826 cm3. Cylinder A has a height of 900 cm. Cylinder B has a height of 225 cm. Cylinder C has a height of 100 cm. Find the radius of each cylinder. Use 3.14 as an approximation for \(\pi\).
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.