Lesson 14
Finding Cylinder Dimensions
Problem 1
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
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Problem 2
A cylinder has volume \(45\pi\) and radius 3. What is its height?
Solution
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Problem 3
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
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Problem 4
A gas company’s delivery truck has a cylindrical tank that is 14 feet in diameter and 40 feet long.
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Sketch the tank, and mark the radius and the height.
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How much gas can fit in the tank?
Solution
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(From Unit 5, Lesson 13.)Problem 5
Here is a graph that shows the water height of the ocean between September 22 and September 24, 2016 in Bodega Bay, CA.
![Coordinate plane, hoizontal, date and time, vertical, water height in feet. A smooth graph with several peaks and valleys. Please ask for additional assistance.](https://staging-cms-im.s3.amazonaws.com/WQwvjUpzMZPKssDXXsPg1xyJ?response-content-disposition=inline%3B%20filename%3D%228-8.5.PP.B.Image.08.png%22%3B%20filename%2A%3DUTF-8%27%278-8.5.PP.B.Image.08.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF37H2AMFB%2F20240703%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240703T075948Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=9f1640d90fcda6a3154fff2e209f24953470c0bcdd316a021fc5f78e28194a89)
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Estimate the water height at 12 p.m. on September 22.
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How many times was the water height 5 feet? Find two times when this happens.
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What was the lowest the water got during this time period? When does this occur?
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Does the water ever reach a height of 6 feet?
Solution
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(From Unit 5, Lesson 5.)