Question
What would the approximate diagonal through the cylinder be in inches if the radius of the cylinder is 7 inches and the height of the cylinder is 12 inches?
(4 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Step 1
Step 2
Step 3
Step 4 - answer
Responses:
Double the radius to get the diameter = 14 in
Use the Pythagorean theorem with the height 12 in and the diameter 14 in - 12^2 + 14^2 = d^2
Simplify to get: d^2 = 340
Answer - d is approximately 18.4
Use the Pythagorean theorem with the height 12 in and the radius 7 in - 12^2 + 7^2 = d^2
Simplify to get: d^2 = 193
Answer - d = 96.5
Answer - d = 170
Square the radius to get the diameter = 49 in
Use the Pythagorean theorem with the height 12 in and the diameter 49 in - 12^2 + 49^2 = d^2
Simplify the equation to get: d^2 = 2545
Answer - d is approximately 50.4
(4 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Step 1
Step 2
Step 3
Step 4 - answer
Responses:
Double the radius to get the diameter = 14 in
Use the Pythagorean theorem with the height 12 in and the diameter 14 in - 12^2 + 14^2 = d^2
Simplify to get: d^2 = 340
Answer - d is approximately 18.4
Use the Pythagorean theorem with the height 12 in and the radius 7 in - 12^2 + 7^2 = d^2
Simplify to get: d^2 = 193
Answer - d = 96.5
Answer - d = 170
Square the radius to get the diameter = 49 in
Use the Pythagorean theorem with the height 12 in and the diameter 49 in - 12^2 + 49^2 = d^2
Simplify the equation to get: d^2 = 2545
Answer - d is approximately 50.4
Answers
GPT-4o mini
To find the approximate diagonal through the cylinder, we can use the Pythagorean theorem.
First, we need to find the diameter of the cylinder, which is double the radius:
1. Double the radius to get the diameter = \(14\) in
Next, we use the Pythagorean theorem with the height of the cylinder and the diameter to find the diagonal:
2. Use the Pythagorean theorem with the height \(12\) in and the diameter \(14\) in:
- \(12^2 + 14^2 = d^2\)
Simplifying:
- \(144 + 196 = d^2\)
- \(d^2 = 340\)
Finally, we calculate \(d\):
- \(d = \sqrt{340} \approx 18.4\)
So, the response for the approximate diagonal through the cylinder is:
- Answer - \(d\) is approximately \(18.4\)
First, we need to find the diameter of the cylinder, which is double the radius:
1. Double the radius to get the diameter = \(14\) in
Next, we use the Pythagorean theorem with the height of the cylinder and the diameter to find the diagonal:
2. Use the Pythagorean theorem with the height \(12\) in and the diameter \(14\) in:
- \(12^2 + 14^2 = d^2\)
Simplifying:
- \(144 + 196 = d^2\)
- \(d^2 = 340\)
Finally, we calculate \(d\):
- \(d = \sqrt{340} \approx 18.4\)
So, the response for the approximate diagonal through the cylinder is:
- Answer - \(d\) is approximately \(18.4\)