Answer:
2
Step-by-step explanation:
Answer: Option C.
Step-by-step explanation:
Use the formula for calculate the volume of a cone:
![V=\frac{1}{3}\pi r^2h](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2h)
Where r is the radius and h is the height.
Volume of the cone A:
![V_A=\frac{1}{3}\pi (2in)^2(3in)=12.56in^3](https://tex.z-dn.net/?f=V_A%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%20%282in%29%5E2%283in%29%3D12.56in%5E3)
Volume of the cone B:
If the height of the cone B and the height of the cone A are the same , but the radius of the cone B is doubled, then its radius is:
![r_B=2r_A\\r_B=2*2in\\r_B=4in](https://tex.z-dn.net/?f=r_B%3D2r_A%5C%5Cr_B%3D2%2A2in%5C%5Cr_B%3D4in)
Then:
![V_B=\frac{1}{3}\pi (4in)^2(3in)=50.26in^3](https://tex.z-dn.net/?f=V_B%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%20%284in%29%5E2%283in%29%3D50.26in%5E3)
Divide
by
:
![\frac{V_B}{V_A}=\frac{50.26in^3}{12.56in^3}=4](https://tex.z-dn.net/?f=%5Cfrac%7BV_B%7D%7BV_A%7D%3D%5Cfrac%7B50.26in%5E3%7D%7B12.56in%5E3%7D%3D4)
Therefore: When the radius is doubled, the resulting volume is 4 times that of the original cone.
RS<span> ≅ </span><span>ST is the correct answer</span>
x stands for a variable, in which the variable would be replaced by a number(s) that would make the equation true.
Hope this helps
Step-by-step explanation:
year 2012 population = 2,254,000*3.5%
= 78.89
each year up to 2020
so 2020 - 2012 =8
78.89*8 = 631
total population at end of 2020 =2,254,000 + 631
= 2,254631