Answer:
So, the volume V is

Step-by-step explanation:
We have that:

We have the formula:

We calculate the volume V, we get
![V=2\pi\int_a^b x(g(x)-f(x))\, dx\\\\V=2\pi\int_0^1 x(7x-0)\, dx\\\\V=2\pi\int_0^1 7x^2\, dx\\\\V=2\pi\cdot 7\left[\frac{x^3}{3}\right]_0^1\\\\V=14\pi\left(\frac{1}{3}-\frac{0}{3}\right)\\\\V=\frac{14\pi}{3}](https://tex.z-dn.net/?f=V%3D2%5Cpi%5Cint_a%5Eb%20x%28g%28x%29-f%28x%29%29%5C%2C%20dx%5C%5C%5C%5CV%3D2%5Cpi%5Cint_0%5E1%20x%287x-0%29%5C%2C%20dx%5C%5C%5C%5CV%3D2%5Cpi%5Cint_0%5E1%207x%5E2%5C%2C%20dx%5C%5C%5C%5CV%3D2%5Cpi%5Ccdot%207%5Cleft%5B%5Cfrac%7Bx%5E3%7D%7B3%7D%5Cright%5D_0%5E1%5C%5C%5C%5CV%3D14%5Cpi%5Cleft%28%5Cfrac%7B1%7D%7B3%7D-%5Cfrac%7B0%7D%7B3%7D%5Cright%29%5C%5C%5C%5CV%3D%5Cfrac%7B14%5Cpi%7D%7B3%7D)
So, the volume V is

We use software to draw the graph.
Answer:
- 3
5
Step-by-step explanation:
Answer:
The choice third ; a=9 , c= 18
Step-by-step explanation:


Answer:
or 
Step-by-step explanation:
Since a square's sides are all equal to each other you can use this formula for finding the area of a rectangle which is Base x Height or since all the sides are equal to each other you can just square the one side to get the desired answer!
Answer:
total profit gained = 20%
Step-by-step explanation:
profit = SP - CP = 18 - 15 = 3 naira
total profit percentage =
- ( profit / CP ) × 100
- 3 / 15 × 100
- 20%
hence her total percentage gain was 20%