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)
The answer is q = -7. Please make brainliest! ☺
8x+324 is the answer, all you have to do is multiple 6 times 54
Answer 4: Angle 4,5 and 1
Answer 5: 3,4 and 5
Answer 6: The value of x is 10 because since angle 3 is 90 degrees angle 1 is 9x 9 times 10 equals 90 degrees which is the same as angle 3 which is 90 degrees, so the answer is 10.
Answer:
7/13
Step-by-step explanation:
more parts to the fraction