Volume of a cube is sides a3
so 10x10x10
V=1000cm
Answer:
(a)205
(b)5 Packages
Step-by-step explanation:
![\text{One gallon is equivalent to 3785 } cm^3](https://tex.z-dn.net/?f=%5Ctext%7BOne%20gallon%20is%20equivalent%20to%203785%20%7D%20cm%5E3)
Therefore: ![\text{10 gallon= 3785X 10 =37850 } cm^3](https://tex.z-dn.net/?f=%5Ctext%7B10%20gallon%3D%203785X%2010%20%3D37850%20%7D%20cm%5E3)
Therefore, Volume of the lemonade Monica Started with is ![\text{37850 } cm^3](https://tex.z-dn.net/?f=%5Ctext%7B37850%20%7D%20cm%5E3)
The diameter of the cup =8cm
Therefore, Radius =8/2 =4cm
Height of the Cup =11cm
Volume of a Cone=![\frac{1}{3}\pi r^2 h](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2%20h)
![\text{Volume of the Cup}=\frac{1}{3}\pi *4^2*11 \\=184.31cm^3](https://tex.z-dn.net/?f=%5Ctext%7BVolume%20of%20the%20Cup%7D%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%20%2A4%5E2%2A11%20%5C%5C%3D184.31cm%5E3)
The number of cups needed to empty the 10 gallon cooler =37850÷184.31
=205.36
Cups
(b)If the Cups are sold in packages of 50
Number of Package to be bought =205 ÷ 50 =4.1
She would need to buy 5 packages.
Step-by-step explanation:
Given
f(x) = 12x + 2
f^-1(x) = ?
Now
Let y = f(x)
or y = 12x + 2
Interchanging the role of x and y
x = 12y + 2
x - 2 = 12y
y = <u>x </u><u>-</u><u> </u><u>2</u>
12
Therefore f^-1(x) = <u>x </u><u>-</u><u> </u><u>2</u>
12
Hope it will help you.