Answer:
The area of the base is ![10\pi m^2](https://tex.z-dn.net/?f=10%5Cpi%20m%5E2)
Step-by-step explanation:
The volume of a cylinder is calculated using the formula:
![Volume=\pi r^2h](https://tex.z-dn.net/?f=Volume%3D%5Cpi%20r%5E2h)
The volume is given to be:
![V=140\pi m^3](https://tex.z-dn.net/?f=V%3D140%5Cpi%20m%5E3)
The height of the cylinder is h=14 meters.
We substitute these values into the formula to obtain;
![140\pi=\pi r^2\times 14](https://tex.z-dn.net/?f=140%5Cpi%3D%5Cpi%20r%5E2%5Ctimes%2014)
Divide both sides by 14.
![\frac{140\pi}{14}=\pi r^2](https://tex.z-dn.net/?f=%5Cfrac%7B140%5Cpi%7D%7B14%7D%3D%5Cpi%20r%5E2)
![10\pi=\pi r^2](https://tex.z-dn.net/?f=10%5Cpi%3D%5Cpi%20r%5E2)
The area of the base is a circle which is ![\pi r^2=10\pi m^2](https://tex.z-dn.net/?f=%5Cpi%20r%5E2%3D10%5Cpi%20m%5E2)
Answer:
Height of the house will reduce by 22 feet after 11 days.
Step-by-step explanation:
A house is sinking at the rate of 2 inches per day.
That means rate of sinking of the house is 2 inches in a day.
Therefore, house will sink or change in height of the house in 11 days
= Rate o change in height × Number of days
= 2 × 11
= 22 feet
Height of the house will reduce by 22 feet after 11 days.
Let's set up an equation.
so we know the answer is -13.
1/3 of a number (our variable) can be written as 1/3n.
8 less than that would be subtracting 1/3n by 8
so we have -13 = 1/3n - 8.
To solve:
Add 8 to both sides: -5 = 1/3n
Multiply both sides by 3 (to cancel fraction): -15 = n
You can check by plugging -15 into the equation we made.
<h2>
Answer: 54 square units</h2>
Step-by-step explanation: 6x9=54
Answer:
12,500,000. You simply move the decimal point over to the right 7 times.