Answer:
132.73
Step-by-step explanation:
the equation for area of a circle is A=πr*2
if your diameter is 13 simply take half of that and plug into the equation
π(6.5)*2 which when put into a calculator comes out to 132.732289
Answer:
Step-by-step explanation:
Consider the graphs of the
and
.
By equating the expressions, the intersection points of the graphs can be found and in this way delimit the area that will rotate around the Y axis.
then
o
. Therefore the integration limits are:
and 
The inverse functions are given by:
and
. Then
The volume of the solid of revolution is given by:
![\int\limits^{64}_ {0} \, [2\sqrt{y} - \frac{y}{4}]^{2} dy = \int\limits^{64}_ {0} \, [4y - y^{3/2} + \frac{y^{2}}{16} ]\ dy = [2y^{2} - \frac{2}{5}y^{5/2} + \frac{y^{3}}{48} ]\limits^{64}_ {0} = 546.133 u^{2}](https://tex.z-dn.net/?f=%5Cint%5Climits%5E%7B64%7D_%20%7B0%7D%20%5C%2C%20%5B2%5Csqrt%7By%7D%20-%20%5Cfrac%7By%7D%7B4%7D%5D%5E%7B2%7D%20%20dy%20%3D%20%5Cint%5Climits%5E%7B64%7D_%20%7B0%7D%20%5C%2C%20%5B4y%20-%20y%5E%7B3%2F2%7D%20%2B%20%5Cfrac%7By%5E%7B2%7D%7D%7B16%7D%20%5D%5C%20%20dy%20%3D%20%5B2y%5E%7B2%7D%20-%20%5Cfrac%7B2%7D%7B5%7Dy%5E%7B5%2F2%7D%20%2B%20%5Cfrac%7By%5E%7B3%7D%7D%7B48%7D%20%5D%5Climits%5E%7B64%7D_%20%7B0%7D%20%3D%20546.133%20u%5E%7B2%7D)
The y-intercept (where x = 0) of the equation is at -20.
For every 60 the x runs, the y falls by -10. Use rise over run to determine the slope of the equation.

Slope-intercept form is determined by the following equation:

m is your slope, and b is your y-intercept.
Plug the slope and y-intercept into the equation.
A´(-2,-4) B´(-3,-7) C´(-1,-8) D´(1,-6)
-9/10 divided by 3/1
Transform the problem from division to multiplication while flipping the second fraction from 3/1 to 1/3(one over three).
-9/10 times 1/3
Multiply and simplify
Final answer: -3/10(Negative three over ten)