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.
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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.)