Answer:
The volume of the frustum is: ![34.8 \, \pi \,units^3](https://tex.z-dn.net/?f=34.8%20%5C%2C%20%5Cpi%20%5C%2Cunits%5E3)
which corresponds to the third answer shown in the list of options
Step-by-step explanation:
The image can be interpreted as an original tall cone of height 6.4 plus 6.8 (13.2) that was divided into two parts by chopping the smaller upper cone, and leaving the frustum (the volume of which we need to find). So, to estimate the volume of this frustum, knowing the general formula for the volume of a cone:
(where B is the area of the cone's base, and h its height)
we could calculate the volume of the larger cone, and subtract from it the volume of the upper smaller one.
For the area of the cone's base, recall call also that the area of a circle of radius R is given by:
, and therefore the formula for the volume of the cone can be written as:
![Volume= \frac{1}{3} \pi\,R^2\,h](https://tex.z-dn.net/?f=Volume%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%5C%2CR%5E2%5C%2Ch)
So, now the volume of the larger cone is:
![Volume= \frac{1}{3} \pi\,R^2\,h= \frac{1}{3} \pi\,3^2\,13.2=39.6\,\pi](https://tex.z-dn.net/?f=Volume%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%5C%2CR%5E2%5C%2Ch%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%5C%2C3%5E2%5C%2C13.2%3D39.6%5C%2C%5Cpi)
The volume of the smaller cone:
![Volume= \frac{1}{3} \pi\,R^2\,h= \frac{1}{3} \pi\,1.5^2\,6.4=4.8\, \pi](https://tex.z-dn.net/?f=Volume%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%5C%2CR%5E2%5C%2Ch%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%5C%2C1.5%5E2%5C%2C6.4%3D4.8%5C%2C%20%5Cpi)
Therefore, the difference becomes: ![39.6\,\pi-4.8\,\pi=34.8\,\pi](https://tex.z-dn.net/?f=39.6%5C%2C%5Cpi-4.8%5C%2C%5Cpi%3D34.8%5C%2C%5Cpi)
This is the volume of the frustum: ![34.8 \, \pi \,units^3](https://tex.z-dn.net/?f=34.8%20%5C%2C%20%5Cpi%20%5C%2Cunits%5E3)
Answer:
99 cm²
Step-by-step explanation:
(5 + 4) x 11 = 99
Answer:
C. f(x) = 5·log(x +1)
Step-by-step explanation:
To shift the graph of a function g(x) to the right by "h" units, replace x in the definition with x-h. That is, g(x-h) will be the same graph, but shifted right by h units.
Here, we want h=-1. That is, we want the shift to be the opposite of right 1 unit. So, the shifted function is ...
g(x-(-1)) = g(x+1)
For g(x) = 5·log(x), the shifted function will be ...
f(x) = g(x+1)
f(x) = 5·log(x+1)
Answer:
$45
Step-by-step explanation:
De 11.00am a 3.00pm hay 4 horas de diferencia.
Eso seria 12x4=$48
Pero necesitamos restarle 1/4 de hora, por lo que se estaciono a las 11.15am y no a las 11.00am
1/4 de hora o 15min= $3.00
48-3=45
The riddle is if you have 1,2,3 or 4 round it down. If it is 5,6,7,8, or 9 round it up.
Look at the next number after 8. It's 4 so round it down. Your answer is 3,800,000.
Hope I helped:)