The explanation is here. the rest of the questions must be do by yourself.
Answer:
Hello,
10,070
Step-by-step explanation:
100% - 12% = 88% = 0.88
28,000 x 0.88^8 = 10,069.76...
Answer:
1: 3 ratio of the volume of the cone to the volume of the cylinder
Step-by-step explanation:
Volume of cone(V) is given by:
![V = \frac{1}{3} \pi r^2h](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20r%5E2h)
where, r is the radius and h is the height of the cone.
Volume of cylinder(V') is given by:
![V' = \pi r'^2h'](https://tex.z-dn.net/?f=V%27%20%3D%20%5Cpi%20r%27%5E2h%27)
where, r' is the radius and h' is the height of the cylinder.
As per the statement:
A cylinder and a cone have congruent heights and radii.
⇒r = r' and h = h'
then;
![\frac{V}{V'} = \frac{ \frac{1}{3} \pi r^2h}{\pi r'^2h'} = \frac{ \frac{1}{3} \pi r'^2h'}{\pi r'^2h'}](https://tex.z-dn.net/?f=%5Cfrac%7BV%7D%7BV%27%7D%20%3D%20%5Cfrac%7B%20%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20r%5E2h%7D%7B%5Cpi%20r%27%5E2h%27%7D%20%3D%20%5Cfrac%7B%20%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20r%27%5E2h%27%7D%7B%5Cpi%20r%27%5E2h%27%7D)
⇒![\frac{V}{V'} =\frac{1}{3} = 1 : 3](https://tex.z-dn.net/?f=%5Cfrac%7BV%7D%7BV%27%7D%20%3D%5Cfrac%7B1%7D%7B3%7D%20%3D%201%20%3A%203)
Therefore, the ratio of the volume of the cone to the volume of the cylinder is, 1 : 3
37 would be the answer.....