Find the value of x the is a geometry question please help
1 answer:
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Answer:
The radius of the cylinder is 3 inches.
Step-by-step explanation:
For any given cylinder, the volume can be expressed as:
volume = h
where r is the radius of its circular surface, and h is its height.
Given that: volume = 54π cubic inches, and the height = 6 inches.
then,
54 =
x
x 6
54 = 6
=
= 9
r =
r = 3
The radius of the cylinder is 3 inches.
Answer:
C
Step-by-step explanation:
Remember the mnemonic: SohCahToa, where:
Let's determine our side lengths first.
Note that our angle is A. So, we have to determine the sides with respect to A.
The opposite side to A is 16.
The adjacent side is 12.
And the hypotenuse is 20.
With this, we can find our trig ratios:
Sine:
Substitute 16 for the opposite and 20 for the hypotenuse. This yields:
Reduce:
Cosine:
Substitute 12 for the adjacent and 20 for the hypotenuse. This yields:
Reduce:
Tangent:
Substitute 16 for the opposite and 12 for the adjacent. This yields:
Reduce:
So, our answers are:
Out of the answer choices, the choice that represents this is C.
So, our correct answer is C.
And we're done!