Answer:
2. 92 ounces of Sprite
3. 1/6 do not want mustard on their ham sandwiches
4. 6 hours playing volleyball
5. 32 portions
Step-by-step explanation:
2. Sam has 8 cans of Sprite. Each can is 11 2/4 ounces
We can simplify 2/4 to 1/2
Multiply the number of cans by the ounces per can
8 * 11 1/2
8 * 11.5
92 ounces
3. 1/2 of the students want ham. 1/3 of those do not want mustard
We multiply 1/2*1/3 = 1/6
1/6 of the students do not want mustard on their ham sandwiches
4. 8 hours at the beach. 3/4 of the time was spent playing volleyball
Multiply this together
8*3/4 = 8/4*3 = 2*3 = 6 hours
5. We have 4 lbs of wings. We divide it into 1/8 lbs parts
4 ÷ 1/8
Copy dot flip
4 * 8/1
32 portions
Answer:
Therefore, the volume of the cone is V=4π.
Step-by-step explanation:
From task we have a circular cone with radius 2 m and height 3 m. We use the disk method to find the volume of this cone.
We have the formula:
We know that r=2 and h=3, and we get:
![V=\int_0^3\pi \cdot \left(\frac{2}{3}x\right)^2\, dx\\\\V=\int_0^3 \pi \frac{4}{9}x^2\, dx\\\\V= \frac{4\pi}{9} \int_0^3 x^2\, dx\\\\V= \frac{4\pi}{9} \left[\frac{x^3}{3}\right]_0^3\, dx\\\\V= \frac{4\pi}{9}\cdot 9\\\\V=4\pi](https://tex.z-dn.net/?f=V%3D%5Cint_0%5E3%5Cpi%20%5Ccdot%20%5Cleft%28%5Cfrac%7B2%7D%7B3%7Dx%5Cright%29%5E2%5C%2C%20dx%5C%5C%5C%5CV%3D%5Cint_0%5E3%20%5Cpi%20%5Cfrac%7B4%7D%7B9%7Dx%5E2%5C%2C%20dx%5C%5C%5C%5CV%3D%20%5Cfrac%7B4%5Cpi%7D%7B9%7D%20%5Cint_0%5E3%20x%5E2%5C%2C%20dx%5C%5C%5C%5CV%3D%20%5Cfrac%7B4%5Cpi%7D%7B9%7D%20%5Cleft%5B%5Cfrac%7Bx%5E3%7D%7B3%7D%5Cright%5D_0%5E3%5C%2C%20dx%5C%5C%5C%5CV%3D%20%5Cfrac%7B4%5Cpi%7D%7B9%7D%5Ccdot%209%5C%5C%5C%5CV%3D4%5Cpi)
Therefore, the volume of the cone is V=4π.
Answer:
whats the question exatly?
Step-by-step explanation:
Factors of 10: 1, 2, 5, and 10.
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24.
The greatest factor they have in common is 2.
