Answer:
A. 10cm
B. 8 times
Step-by-step explanation:
The question is on volume of a conical container
Volume of a cone= ![\pi r^{2} h/3](https://tex.z-dn.net/?f=%5Cpi%20r%5E%7B2%7D%20h%2F3)
where r is the radius of base and h is the height of the cone
Given diameter= 12 cm, thus radius r=12/2 =6 cm
![v=\pi r^2h/3 \\120\pi =\pi *6*6*h/3\\120\pi =12\pi h\\10=h](https://tex.z-dn.net/?f=v%3D%5Cpi%20r%5E2h%2F3%20%5C%5C120%5Cpi%20%3D%5Cpi%20%2A6%2A6%2Ah%2F3%5C%5C120%5Cpi%20%3D12%5Cpi%20h%5C%5C10%3Dh)
h=10 cm
B.
If height and diameter were doubled
New height = 2×10 =20 cm
New diameter = 2×12 = 24, r=12 cm
volume = ![v=\pi r^2h/3\\v=\pi *12*12*20/3\\v=960\pi](https://tex.z-dn.net/?f=v%3D%5Cpi%20r%5E2h%2F3%5C%5Cv%3D%5Cpi%20%2A12%2A12%2A20%2F3%5C%5Cv%3D960%5Cpi)
To find the number of times we divide new volume with the old volume
![N= 960\pi /120\pi \\\\N= 8](https://tex.z-dn.net/?f=N%3D%20960%5Cpi%20%2F120%5Cpi%20%5C%5C%5C%5CN%3D%208)
Answer:
![B.-240](https://tex.z-dn.net/?f=B.-240)
Bob got that by calculating the change amount of money in Imamu's account after
of a year (4 months).
Step-by-step explanation:
You know that Imamu pays $30 each month for his gym membership.
Since there are 12 months in a year, you can find the the number of months that
of a year represents:
![(12\ months)(\frac{2}{3})=\frac{24\ months}{3}=8\ months](https://tex.z-dn.net/?f=%2812%5C%20months%29%28%5Cfrac%7B2%7D%7B3%7D%29%3D%5Cfrac%7B24%5C%20months%7D%7B3%7D%3D8%5C%20months)
Now, in order to find the change amount of money in his account after
(8 months), you must solve the following multiplication:
![(-30)(8)=-240](https://tex.z-dn.net/?f=%28-30%29%288%29%3D-240)
Bob chose
(Option A) as the correct answer, but that is incorrect, because he got it by calculating the change amount of money in Imamu's account after
of a year (4 months).
use a divider to find the length of the middle line then use
Answer:
its 92
Step-by-step explanation:
81+32+21
=81+9+21
=90+21
=90+2
=92