To find the height of the cylindrical water tower, we can use the formula for the volume of a cylinder, which is V = πr²h, where V is the volume, r is the radius, and h is the height.

Step 1: Find the radius. The diameter of the water tower is given as 20 ft, so the radius would be half of that, which is 10 ft.

Step 2: Substitute the known values into the formula. We know the volume V is 7,540 ft³ and the radius r is 10 ft. So, the formula becomes 7,540 = π(10)²h.

Step 3: Simplify the equation. (10)² is 100, so the equation becomes 7,540 = 100πh.

Step 4: Solve for h. To isolate h, divide both sides of the equation by 100π. So, h = 7,540 / (100π).

Step 5: Calculate the value. When you do the division, you get approximately 24 ft.

So, the approximate height of the water tower is 24 ft.

Question

To find the height of the cylindrical water tower, we can use the formula for the volume of a cylinder, which is V = πr²h, where V is the volume, r is the radius, and h is the height.

Step 1: Find the radius. The diameter of the water tower is given as 20 ft, so the radius would be half of that, which is 10 ft.

Step 2: Substitute the known values into the formula. We know the volume V is 7,540 ft³ and the radius r is 10 ft. So, the formula becomes 7,540 = π(10)²h.

Step 3: Simplify the equation. (10)² is 100, so the equation becomes 7,540 = 100πh.

Step 4: Solve for h. To isolate h, divide both sides of the equation by 100π. So, h = 7,540 / (100π).

Step 5: Calculate the value. When you do the division, you get approximately 24 ft.

So, the approximate height of the water tower is 24 ft.

Knowee AI · Accepted Answer

To find the height of the cylindrical water tower, we can use the formula for the volume of a cylinder, which is V = πr²h, where V is the volume, r is the radius, and h is the height.

Step 1: Find the radius. The diameter of the water tower is given as 20 ft, so the radius would be half of that, which is 10 ft.

Step 2: Substitute the known values into the formula. We know the volume V is 7,540 ft³ and the radius r is 10 ft. So, the formula becomes 7,540 = π(10)²h.

Step 3: Simplify the equation. (10)² is 100, so the equation becomes 7,540 = 100πh.

Step 4: Solve for h. To isolate h, divide both sides of the equation by 100π. So, h = 7,540 / (100π).

Step 5: Calculate the value. When you do the division, you get approximately 24 ft.

So, the approximate height of the water tower is 24 ft.

The approximate volume of a cylindrical water tower is 7,540 ft3. The diameter of the water tower is 20 ft. What is the approximate height of the water tower?

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