Answer:
The per hour rate is 0.5 inches per hour
Step-by-step explanation:
Here, we want to calculate the rate at which the level of the water increased
Mathematically, we can get this by dividing the amount of increment by the time it took
That would be 3 inches divided by 6 hours
= 3/6 = 0.5 inches per hour
The volume of the cone is 58.875 cubic inches. The volume of the cylinder is 176.625 cubic inches. The volume of the cylinder is three (3) times the volume of the cone.
<h3>What is the volume of a cone and cylinder?</h3>
The volume of a cone is equal to one-third (1/3) of the area of the circular base as well as the height product.
Mathematically, the volume of a cone can be expressed as:
![\mathbf{V_{cone} = \pi r ^2 \dfrac{h}{3} }](https://tex.z-dn.net/?f=%5Cmathbf%7BV_%7Bcone%7D%20%3D%20%5Cpi%20r%20%5E2%20%5Cdfrac%7Bh%7D%7B3%7D%20%7D)
where;
- radius = 2.5 inches
- height = 9 inches
![\mathbf{V_{cone} = 3.14 \times (2.5 ^2)\times \dfrac{9}{3} }](https://tex.z-dn.net/?f=%5Cmathbf%7BV_%7Bcone%7D%20%3D%203.14%20%5Ctimes%20%282.5%20%5E2%29%5Ctimes%20%20%5Cdfrac%7B9%7D%7B3%7D%20%7D)
![\mathbf{V_{cone} = 3.14 (2.5 ^2)\times 3 }](https://tex.z-dn.net/?f=%5Cmathbf%7BV_%7Bcone%7D%20%3D%203.14%20%282.5%20%5E2%29%5Ctimes%20%203%20%7D)
![\mathbf{V_{cone} =58.875\ inches ^3}](https://tex.z-dn.net/?f=%5Cmathbf%7BV_%7Bcone%7D%20%3D58.875%5C%20inches%20%5E3%7D)
The volume of a cylinder implies the amount of quantity of material being carried in the cylinder. The volume of the cylinder can be expressed as:
V = πr²h
V = π(2.5)² × 9
V = 3.14 × (2.5)² × 9
V = 176.625 inches³
The volume of the cylinder is <u>three times </u> the volume of the cone because:
![\mathbf{=\dfrac{176.625 \ in^3}{ 58.875\ in^3}}](https://tex.z-dn.net/?f=%5Cmathbf%7B%3D%5Cdfrac%7B176.625%20%5C%20in%5E3%7D%7B%2058.875%5C%20in%5E3%7D%7D)
= 3
Learn more about the volume of cone and cylinder here:
brainly.com/question/1310192
Answer:
The two angles are 39°
Step-by-step explanation:
180 - 102 = 78. 78/2 = 39.