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?
(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 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