Answer:
![\sqrt[3]{3140^2\pi}\approx 146.41\ ft^2](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B3140%5E2%5Cpi%7D%5Capprox%20146.41%5C%20ft%5E2)
Step-by-step explanation:
The volume of the cylinder is
where r is the base radius and H is the height.
Since 
and V=1570 cubic feet, then
![1570=\pi r^2\cdot \dfrac{r}{2},\\ \\1570=\dfrac{\pi r^3}{2},\\ \\r^3=\dfrac{3140}{\pi},\\ \\r=\sqrt[3]{\dfrac{3140}{\pi}}\ ft.](https://tex.z-dn.net/?f=1570%3D%5Cpi%20r%5E2%5Ccdot%20%5Cdfrac%7Br%7D%7B2%7D%2C%5C%5C%20%5C%5C1570%3D%5Cdfrac%7B%5Cpi%20r%5E3%7D%7B2%7D%2C%5C%5C%20%5C%5Cr%5E3%3D%5Cdfrac%7B3140%7D%7B%5Cpi%7D%2C%5C%5C%20%5C%5Cr%3D%5Csqrt%5B3%5D%7B%5Cdfrac%7B3140%7D%7B%5Cpi%7D%7D%5C%20ft.)
The area of its bottom floor is
![A_{floor}=\pi r^2=\pi\cdot \left(\sqrt[3]{\dfrac{3140}{\pi}}\right)^2= \sqrt[3]{3140^2\pi}\approx 146.41\ ft^2.](https://tex.z-dn.net/?f=A_%7Bfloor%7D%3D%5Cpi%20r%5E2%3D%5Cpi%5Ccdot%20%5Cleft%28%5Csqrt%5B3%5D%7B%5Cdfrac%7B3140%7D%7B%5Cpi%7D%7D%5Cright%29%5E2%3D%20%5Csqrt%5B3%5D%7B3140%5E2%5Cpi%7D%5Capprox%20146.41%5C%20ft%5E2.)
The usual rules of addition and multiplication apply to complex numbers as well as to real numbers. The true statements are ...
- x + y = y + x . . . . . . . . . . . . . . . commutative property of addition
- (x × y) × z = x × (y × z) . . . . . . . . associative property of multiplication
- (x + y) + z = x + (y + z) . . . . . . . . associative property of addition
C 39.99 adding it all together
Answer:
32
Step-by-step explanation:
I mutiplied 2 to the 5th power and it equals 32
