Volume of a sphere is given by the formula:
![V_{\circ}=\frac43\pi r^3](https://tex.z-dn.net/?f=V_%7B%5Ccirc%7D%3D%5Cfrac43%5Cpi%20r%5E3)
If we pull the 4 out front we have,
![V_{\circ}=4\left(\frac13\pi r^3\right)](https://tex.z-dn.net/?f=V_%7B%5Ccirc%7D%3D4%5Cleft%28%5Cfrac13%5Cpi%20r%5E3%5Cright%29)
.
Volume of a cone is given by the formula:
![V_{\triangle}=\frac{1}{3}\pi r^2\cdot h](https://tex.z-dn.net/?f=V_%7B%5Ctriangle%7D%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2%5Ccdot%20h)
Notice that if the height of the cone is equal to the radius,
![V_{\triangle}=\frac13\pi r^2\cdot r](https://tex.z-dn.net/?f=V_%7B%5Ctriangle%7D%3D%5Cfrac13%5Cpi%20r%5E2%5Ccdot%20r)
then it's exactly what we see in our volume formula without the 4!
So if you have two triangles and you can transform one of them into the other ,the two triangles are congruent
87.96 You need the height of the circle which is
14 because 7 is only the radius. And you put it into the equation and solve C=2πr
Hello again!
when he invested $4000 at 5% he increased his income from 0 to 200
adding 4% of 3500 increased it by 140
totaling to $340
he has $2500 left. and he needs $160 more income
160 is 6.4% of 2500
so he needs to invest the remaining $2500 at 6.4% to get the last $160
of his income
I hope this helps, and have a nice day!