Answer:
The capacity of the container is 2546.78 cm³.
Step-by-step explanation:
The volume of the frustum of a cone is:
![\text{Volume}=\frac{\pi h}{3}\cdot[R^{2}+Rr+r^{2}]](https://tex.z-dn.net/?f=%5Ctext%7BVolume%7D%3D%5Cfrac%7B%5Cpi%20h%7D%7B3%7D%5Ccdot%5BR%5E%7B2%7D%2BRr%2Br%5E%7B2%7D%5D)
The information provided is:
r = 16/2 = 8 cm
R = 24/2 = 12 cm
h = 8 cm
Compute the capacity of the container as follows:
![=\frac{\pi\cdot8}{3}\cdot[(12)^{2}+(12\cdot 8)+(8)^{2}]\\\\=\frac{8\pi}{3}\times [144+96+64]\\\\=\frac{8\pi}{3}\times304\\\\=2546.784445\\\\\approx 2546.78](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%5Cpi%5Ccdot8%7D%7B3%7D%5Ccdot%5B%2812%29%5E%7B2%7D%2B%2812%5Ccdot%208%29%2B%288%29%5E%7B2%7D%5D%5C%5C%5C%5C%3D%5Cfrac%7B8%5Cpi%7D%7B3%7D%5Ctimes%20%5B144%2B96%2B64%5D%5C%5C%5C%5C%3D%5Cfrac%7B8%5Cpi%7D%7B3%7D%5Ctimes304%5C%5C%5C%5C%3D2546.784445%5C%5C%5C%5C%5Capprox%202546.78)
Thus, the capacity of the container is 2546.78 cm³.
Answer:
A, B, and C
Step-by-step explanation:
We can substitute each number into each equation
2 <u><</u> -1 + 5 true
2 <u>></u> 1 true
1 <u>></u> 0 true
A is correct
4 <u><</u> -1 + 5 true
4 <u>></u> 1 true
1 <u>></u> 0 true
B is correct
3 <u><</u> -0 + 5 true
3 <u>></u> 0 true
0 <u>></u> 0 true
C is correct
5 <u><</u> -2 + 5 false
D is incorrect
Answer:
so im not sure what youre asking but hopefully i can help you with this a little. if you change the fractions to all have the same denominator, it will be easier for you to solve. since they can all have eight as a denominator, antonio wouldve eaten 2/8 of a box of cereal, jamie 1/8, and marianna 4/8. hope that helps a little :)
Step-by-step explanation:
1 mile = 5,280 feet
5,280 + 900 = 6,180.
6,200 feet > 1 mile and 900 feet
Glad I could help, and good luck!
