Answer:
(D) 30pi inches
Step-by-step explanation:
First, we use the given volume, the given height, and the formula of the volume of a cylinder to find the radius of the base. Then we use the radius of the base to find the circumference of the base.
![volume = \pi r^2 h](https://tex.z-dn.net/?f=%20volume%20%3D%20%5Cpi%20r%5E2%20h%20)
![volume = 6750 \pi~in.^3](https://tex.z-dn.net/?f=%20volume%20%3D%206750%20%5Cpi~in.%5E3%20)
We set the formula equal to the volume and replace h with 30 in.
![\pi r^2 h = 6750 \pi~in.^3](https://tex.z-dn.net/?f=%20%5Cpi%20r%5E2%20h%20%3D%206750%20%5Cpi~in.%5E3%20)
![\pi r^2 \times 30 ~in. = 6750 \pi~in.^3](https://tex.z-dn.net/?f=%20%5Cpi%20r%5E2%20%5Ctimes%2030%20~in.%20%3D%206750%20%5Cpi~in.%5E3%20)
Divide both sides by 30pi in.
![r^2 = 225 ~in.^2](https://tex.z-dn.net/?f=%20r%5E2%20%3D%20225%20~in.%5E2%20)
Take the square root of each side.
![\sqrt{r^2} = \sqrt{225 ~in.^2}](https://tex.z-dn.net/?f=%20%5Csqrt%7Br%5E2%7D%20%3D%20%5Csqrt%7B225%20~in.%5E2%7D%20)
![r = 15~in.](https://tex.z-dn.net/?f=%20r%20%3D%2015~in.%20)
The radius of the base is 15 in.
Now we use the radius of the base and the formula of the circumference of a circle to find the answer.
![circumference = 2 \pi r](https://tex.z-dn.net/?f=%20circumference%20%3D%202%20%5Cpi%20r%20)
![circumference = 2 \pi \times 15~in.](https://tex.z-dn.net/?f=%20circumference%20%3D%202%20%5Cpi%20%5Ctimes%2015~in.%20)
![circumference = 30 \pi ~in.](https://tex.z-dn.net/?f=%20circumference%20%3D%2030%20%5Cpi%20~in.%20)
Answer: yee
Step-by-step explanation:
A value that "lies outside" (is much smaller or larger than) most of the other values in a set of data.
For example in the scores 25,29,3,32,85,33,27,28 both 3 and 85 are "outliers".
Answer:
B) Parallel
Step-by-step explanation:
The lines have the same slope of
. This makes the lines parallel.
Hope it helps!
The distance between the ground and the kite to the nearest foot is 64 ft.
<h3>What is a right angle triangle?</h3>
A right angle triangle is a triangle that has one of its sides as 90 degrees. The situation forms a right angle triangle.
Hence,
The length of the kite string is the hypotenuse side of the triangle formed.
The height between the ground and the kite is the opposite side of the triangle formed.
Therefore, using trigonometric ratio,
sin 40 = opposite / hypotenuse
sin 40 = h / 100
cross multiply
h = 100 sin 40
h = 100 × 0.64278760968
h = 64.2787609687
h = 64 ft
Therefore, the distance between the ground and the kite to the nearest foot is 64 ft.
learn more on right triangle here: brainly.com/question/27482803
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