17 of 1817 of 18 Items
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
15.23
can i get all the steps pleas?
Of course! Here are all the steps to find the approximate diagonal through the cylinder with a radius of 7 inches and a height of 12 inches:
Step 1: Calculate the length of the diagonal of the rectangle represented by the side of the cylinder.
In a right triangle with base as the radius of the cylinder (7 inches) and height as the height of the cylinder (12 inches), the diagonal can be calculated using the Pythagorean theorem:
Diagonal = √(radius^2 + height^2)
Diagonal = √(7^2 + 12^2)
Diagonal = √(49 + 144)
Diagonal = √193
Diagonal ≈ 13.89 inches
Step 2: Calculate the circumference of the cylinder.
Circumference = 2πr
Circumference = 2 * π * 7
Circumference ≈ 43.98 inches
Step 3: Divide the circumference by the length of the diagonal of the rectangle.
Approximate diagonal through the cylinder = Circumference / Diagonal
Approximate diagonal through the cylinder ≈ 43.98 / 13.89
Approximate diagonal through the cylinder ≈ 3.17 inches
Therefore, the approximate diagonal through the cylinder would be around 3.17 inches.