Answer:
209.4 mm³
Step-by-step explanation:
V = (πr²h)/3
V = (200π)/3
Plug it into a calculator to get 209.4.
Answer:
A example: A customer brought 5 quarts of lemonade from Leah's stand. She also tipped Leah an additional $2. The customer finally paid a total of $27 including the tip. How much is each quart of lemonade worth? If x is what the lemonade is worth, write an equation to figure out the total.
In this problem, the x is what the lemonade is worth. So you should start with a 5x. The customer also tipped $2. So you should add 2 to the 5x. We also know the total, 27.
With the information we can form an equation.
5x + 2 = 27.
To solve, we can subtract 2 from both sides and finally dived by 5 on both sides as well. Your final answer should be x = 5.
Hopefully this is what you're looking for, sorry for being late!
Hi there! The answer is C.
Explanation:
We have the following equation:

To solve this type of equation (with an x in the denominator of a fraction) we must cross-multiply the numerator and the denominator.

Multiply

Divide both sides by 15.

~ Hope this helps you!
Answer:
cubic units
Step-by-step explanation:
We are to find the volume of the solid of revolution formed by rotating about the x--axis the region bounded by the given curves.
f(x)=2x+1, y=0, x=0, x=4.
The picture is given as shaded region.
This is rotated about x axis
Limits for x are already given as 0 and 4
f(x) is a straight line
The solid formed would be a cone
Volume = ![\pi \int\limits^a_b {(2x+1)^2} \, dx \\= \pi \int\limits^4_0 {(4x^2+4x+1)} \, dx \\=\pi [\frac{4x^3}{3} +2x^2+x]^5_0\\\\=\pi[\frac{4*4^3}{3}+2*4^2+4-0]\\=\frac{364\pi}{3}](https://tex.z-dn.net/?f=%5Cpi%20%5Cint%5Climits%5Ea_b%20%7B%282x%2B1%29%5E2%7D%20%5C%2C%20dx%20%5C%5C%3D%20%5Cpi%20%5Cint%5Climits%5E4_0%20%7B%284x%5E2%2B4x%2B1%29%7D%20%5C%2C%20dx%20%5C%5C%3D%5Cpi%20%5B%5Cfrac%7B4x%5E3%7D%7B3%7D%20%2B2x%5E2%2Bx%5D%5E5_0%5C%5C%5C%5C%3D%5Cpi%5B%5Cfrac%7B4%2A4%5E3%7D%7B3%7D%2B2%2A4%5E2%2B4-0%5D%5C%5C%3D%5Cfrac%7B364%5Cpi%7D%7B3%7D)