Answer:
Step-by-step explanation:
The volume of a cylinder is expressed as
V = πr^2h
Where
π is a constant
h is the height of the cylinder
The volume of a cone is expressed as
V = 1/3πr^2h
Where
π is a constant
h is the height of the cone
If the cylinder and a cone have congruent bases and the same volume, it means that
πr^2h = 1/3πr^2h
πr^2 cancels out on both the left hand side and right hand side of the equation. It becomes
h = h/3
It means that the height of the cone is 3 times the height of the cylinder. Therefore,
If height of cylinder = 4 cm, height of cone = 12 cm
Answer:
Step-by-step explanation:
A. Linear- the add up to 180
B. 3x-5+2x+3+4x+2=180
9x=180
x=20
C. plug x in
ABD- 55, DBK- 82, KBC- 43
Answer:$ 66.5
Step-by-step explanation:
Using ordinary Annuity formula
![FV=\frac{P\times \left [ \left ( 1+r\right )^n-1\right ]}{r}](https://tex.z-dn.net/?f=FV%3D%5Cfrac%7BP%5Ctimes%20%5Cleft%20%5B%20%5Cleft%20%28%201%2Br%5Cright%20%29%5En-1%5Cright%20%5D%7D%7Br%7D)
FV=future value=$24000
P=monthly payment
r=rate of interest =5.4%
for monthly 
n=number of payments 
![24000=\frac{P\times \left [ \left ( 1+0.0045\right )^{108}-1\right ]}{0.0045}](https://tex.z-dn.net/?f=24000%3D%5Cfrac%7BP%5Ctimes%20%5Cleft%20%5B%20%5Cleft%20%28%201%2B0.0045%5Cright%20%29%5E%7B108%7D-1%5Cright%20%5D%7D%7B0.0045%7D)
P=$ 66.501
sop monthly deposit of $ 66.5 is required.
