There are many cylinders with a volume of cubic inches. The height in inches of one of these cylinders is a function of its radius in inches where . What is the height of one of these cylinders if its radius is 2 inches? What is the height of one of these cylinders if its radius is 3 inches? What is the height of one of these cylinders if its radius is 6 inches?

1. If its radius is 2 inches, the height is 36 inches.

2. If its radius is 2 inches, the height is 16 inches.

3. If its radius is 2 inches, the height is 4 inches.

Step-by-step explanation:

Here is the complete question:

There are many cylinders with a volume of 144 cubic inches. The height in inches of one of these cylinders is a function of its radius in inches where .

1. What is the height of one of these cylinders if its radius is 2 inches?

2. What is the height of one of these cylinders if its radius is 3 inches?

3. What is the height of one of these cylinders if its radius is 6 inches?

Step-by-step explanation:

1. To determine the height of one of the cylinders if its radius is 2 inches,

From the question,

Since height of one of these cylinders is a function of its radius , and

Then, when r = 2 inches

Hence, the height is 36 inches

2. To determine the height of one of the cylinders if its radius is 3 inches,

Again,

Then, when r = 3 inches

Hence, the height is 16 inches

3. To determine the height of one of the cylinders if its radius is 6 inches,

Again,

Then, when r = 6 inches

Hence, the height is 4 inches.

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step-by-step explanation:

1

step-by-step explanation:

it's the only multiple of both and the least