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)
Step 1
Step 2
Step 3
Step 4 answer
:: Double the radius to get the diameter = 14 in
::
Use Pythagorean Theorem with the height 12 in and the diameter 14in - 12 ^ 2 + 14 ^ 2 = d ^ 2
::Simplify to get: d ^ 2 = 340
Answer - d \approx 18.4
22
Use the Pythagorean Theorem with the height 12 in and the radius 7in - 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 Pythagorean Theorem with the height 12 in and the diameter 49in - 12 ^ 2 + 49 ^ 2 = d ^ 2
:: Simplify the equation to get d ^ 2 = 2545
Answer - d \approx 50.4
(4 points)
Step 1
Step 2
Step 3
Step 4 answer
:: Double the radius to get the diameter = 14 in
::
Use Pythagorean Theorem with the height 12 in and the diameter 14in - 12 ^ 2 + 14 ^ 2 = d ^ 2
::Simplify to get: d ^ 2 = 340
Answer - d \approx 18.4
22
Use the Pythagorean Theorem with the height 12 in and the radius 7in - 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 Pythagorean Theorem with the height 12 in and the diameter 49in - 12 ^ 2 + 49 ^ 2 = d ^ 2
:: Simplify the equation to get d ^ 2 = 2545
Answer - d \approx 50.4
Answers
GPT 3.5
The approximate diagonal through the cylinder would be approximately 50.4 inches.