To find the approximate diagonal through the cylinder, we can use the Pythagorean Theorem.
The diagonal can be thought of as the hypotenuse of a right triangle, with the radius of the cylinder as one leg and the height of the cylinder as the other leg.
By Pythagorean Theorem, the diagonal (D) can be calculated as:
D^2 = radius^2 + height^2
D^2 = 7^2 + 12^2
D^2 = 49 + 144
D^2 = 193
Taking the square root of 193, we get:
D = √193
D ≈ 13.89 inches
Therefore, the approximate diagonal through the cylinder would be approximately 13.89 inches.
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)
Item 15
Item 16
Item 17
Step 1
Item 18
Step 2
Step 3
Step 4-answer
5 answers
What are the four steps
Step 1: Identify the given values
Radius of the cylinder = 7 inches
Height of the cylinder = 12 inches
Step 2: Use the Pythagorean Theorem to find the diagonal of the cylinder
D^2 = radius^2 + height^2
D^2 = 7^2 + 12^2
D^2 = 49 + 144
D^2 = 193
Step 3: Take the square root of both sides to solve for D
D = √193
D ≈ 13.89 inches
Step 4: The approximate diagonal through the cylinder is approximately 13.89 inches.
Radius of the cylinder = 7 inches
Height of the cylinder = 12 inches
Step 2: Use the Pythagorean Theorem to find the diagonal of the cylinder
D^2 = radius^2 + height^2
D^2 = 7^2 + 12^2
D^2 = 49 + 144
D^2 = 193
Step 3: Take the square root of both sides to solve for D
D = √193
D ≈ 13.89 inches
Step 4: The approximate diagonal through the cylinder is approximately 13.89 inches.
Double the radius to get the diameter = 14 in
:: Use Pythagorean Theorem with the height 12 in and the diameter 14 in - 122 + 142 = d²
Simplify to get: d² = 340
Answer-d ≈ 18.4
Use the Pythagorean Theorem with the height 12 in and the radius 7 in - 122 +72 = d²
Simplify to get: d² = 193
Answer-d-96.5
Answer - d = 170
#Square the radius to get the diameter = 49 in
Pythagitan Theorem with the height 12 in and the diameter 49 in-122 +49² = d²
•Semily Petion to get d² = 2545
Answer-d 50.4
These are the answer choices
:: Use Pythagorean Theorem with the height 12 in and the diameter 14 in - 122 + 142 = d²
Simplify to get: d² = 340
Answer-d ≈ 18.4
Use the Pythagorean Theorem with the height 12 in and the radius 7 in - 122 +72 = d²
Simplify to get: d² = 193
Answer-d-96.5
Answer - d = 170
#Square the radius to get the diameter = 49 in
Pythagitan Theorem with the height 12 in and the diameter 49 in-122 +49² = d²
•Semily Petion to get d² = 2545
Answer-d 50.4
These are the answer choices
I apologize for the confusion in my previous response. Let's go through the correct steps again.
Step 1: Double the radius to get the diameter = 14 inches
Step 2: Use the Pythagorean Theorem with the height 12 inches and the diameter 14 inches
d^2 = 12^2 + 14^2
d^2 = 144 + 196
d^2 = 340
d ≈ √340
d ≈ 18.44 inches
Therefore, the correct answer is d ≈ 18.4 inches. Thank you for pointing out the error, and I appreciate your understanding.
Step 1: Double the radius to get the diameter = 14 inches
Step 2: Use the Pythagorean Theorem with the height 12 inches and the diameter 14 inches
d^2 = 12^2 + 14^2
d^2 = 144 + 196
d^2 = 340
d ≈ √340
d ≈ 18.44 inches
Therefore, the correct answer is d ≈ 18.4 inches. Thank you for pointing out the error, and I appreciate your understanding.
3 answers