Answer:
The answer to your question is the letter C. 253712 gallons
Step-by-step explanation:
Data
height = 48 ft
diameter = 30 ft
1 yd³ = 202 gallons
π = 3.14
the number of gallons = ?
Process
1.- Write the formula to calculate the volume of a cylinder.
Volume = πr²h
2.- Calculate the volume
Volume = (3.14)(30/2)²(48)
-Simplification
Volume = (3.14)(225)(48)
-Result
Volume = 33912 ft³
3.- Convert ft³ to yd³
1 yd³ -------------- 27 ft³
x ------------- 33912 ft³
x = (33912 x 1)/ 27
x = 33912 / 27
x = 1256 yd³
4.- Convert yd³ to gallons
1 yd³ --------------- 202 gallons
1256 yd³ --------------- x
x = (1256 x 202) / 1
x = 253712 gallons
I think it is:
A = 9y = 3yx
A = 9y = 3y (3)
A = 9y = 9y
A = 9y
A/9 = y?
I believe the answer is B, but I'm not 100% sure. :)
You have to check which of the following expressions is the rational exponent expression of third root of 4n, or mathematically,
Consider all cases:
A. ![(4n)^3=4^3\cdot n^3=64n^3\neq\sqrt[3]{4n} .](https://tex.z-dn.net/?f=%20%284n%29%5E3%3D4%5E3%5Ccdot%20n%5E3%3D64n%5E3%5Cneq%5Csqrt%5B3%5D%7B4n%7D%20.%20%20)
B. ![3n^4\neq \sqrt[3]{4n} .](https://tex.z-dn.net/?f=%203n%5E4%5Cneq%20%5Csqrt%5B3%5D%7B4n%7D%20.%20%20)
C. quantity of 4n to the one third power is
(by the definition of rational power).
D. 4 times n to the one third power is ![4\cdot n^{\frac{1}{3} }=4\sqrt[3]{n}\neq \sqrt[3]{4n} .](https://tex.z-dn.net/?f=%204%5Ccdot%20n%5E%7B%5Cfrac%7B1%7D%7B3%7D%20%7D%3D4%5Csqrt%5B3%5D%7Bn%7D%5Cneq%20%5Csqrt%5B3%5D%7B4n%7D%20.%20%20)
Answer: correct choice is C.