Question

d
h

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?


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 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

::Use Pythagorean Theorem with the height 12 in and the diameter 49 in -

::122 +49² = d²

::Simplify the equation to get: d^2 = 2545

Answer d≈ 50.4

Answer 1

are you sure

Answer 2

The approximate diagonal through the cylinder would be 50.4 inches.

Answer 3

Apologies, I made an error in my calculations. Let's correct it.

Given:
Radius (r) = 7 inches
Height (h) = 12 inches

To find the diagonal through the cylinder, we use the formula for the diagonal of a cylinder which is √(r^2 + h^2) where r is the radius and h is the height.

Plugging in the values:
Diagonal = √(7^2 + 12^2)
Diagonal = √(49 + 144)
Diagonal = √193
Diagonal ≈ 13.89 inches

So, the approximate diagonal through the cylinder would be 13.89 inches.