The height of the cylinder is 19 meters if the volume of 475pie cubic meters and the radius is 5 meters.
<h3>What is a cylinder?</h3>
In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.
We know the volume of the cylinder is given by:
We have a volume of the cylinder:
V = 475π cubic meter
The radius r = 5 meters
475π = π(5)²h
h = 19 meters
Thus, the height of the cylinder is 19 meters if the volume of 475pie cubic meters and the radius is 5 meters.
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Answer:
D. x ≥ 8
Step-by-step explanation:
Hello!
We can solve this as if it were a regular equation. We can pretend the inequality sign is an equal sign.
Solve:
- 6x - 15 ≥ 33
- 6x ≥ 48 =>add 15 to both sides
- x ≥ 48 / 6 => divide both side by 6
- x ≥ 8
The correct answer is option D. x ≥ 8
The population starts at 2000, so a=2000.
We also know that the population in 3 hours is 1000, so we can setup the equation:
2000 b^3 = 1000
This gets us:
b^3 = 1/2
And taking the cube root of both sides gives us:
b ≈ 0.7937005259841
Rounding that to 4 places, we have:
f(t) = 2000 (0.7937)^t
Answer:
c. 38
Step-by-step explanation:
Since 16 and 25 are perfect squares you can factor the first part.
4^2-5^2(b+3)^2
=(4-5(b+3))(4+5(b+3))
=(4-5b-15)(4+5b+15)
=(-11-5b)(19+5b)
Which can be expanded if necessary,
= -209+150b-25b^2