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)
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Step 1
Step 2
Step 3
Step 4 - answer
Double the radius to get the diameter = 14 inUse Pythagorean Theorem with the height 12 in and the diameter 14 in - 122+142=d2
12
2
+
14
2
=

2
Simplify to get: d2=340

2
=
340
Answer - d≈18.4


18.4
Use the Pythagorean Theorem with the height 12 in and the radius 7 in - 122+72=d2
12
2
+
7
2
=

2
Simplify to get: d2=193

2
=
193
Answer - d=96.5

=
96.5
Answer - d=170

=
170
Square the radius to get the diameter = 49 inUse Pythagorean Theorem with the height 12 in and the diameter 49 in - 122+492=d2
12
2
+
49
2
=

2
Simplify the equation to get: d2=2545

2
=
2545
Answer - d≈50.4


50.4

1 answer

Answer - d≈18.4"