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shepuryov [24]
3 years ago
11

The height of a right cylinder is 3 times the radius of the base. The volume of the cylinder is 242 cubic units.

Mathematics
1 answer:
enyata [817]3 years ago
6 0

Correct question:

The height of a right cylinder is 3 times the radius of the base. The volume of the cylinder is 242 cubic units.

Answer:

6 units

Step-by-step explanation:

Let, radius, r = x

Height, h = 3x

Volume, V = 24π

Volume of cylinder = =πr²h

24π = π * x² * 3x

24π = π* 3x³

24 = 3x³

24 / 3= x³

8 = x³

x = 2

Height, h = 3x

h = 3(2) = 6 units

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\cot(x)  \:  { \sec}^{4} x  = \cot(x)  \: ( 1 +  { \tan}^{2} x )^{2}

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We simplify to get:

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