The complete question is
Three tennis balls are stored in a cylindrical container with a height of 8 inches and a radius of 1.43 inches. The circumference of a tennis ball is 8 inches. a) Find the volume of a tennis ball b) There are 3 tennis ball in the container Find the amount of space within the cylinder not taken up by the tennis balls. Round your answers to the nearest hundredth.
Part a)
we know that
length of a circumference=2*pi*r----------> r=length/(2*pi)---> 8/(2*pi)
r=1.27 in------> radius of tennis ball
volume of a tennis ball is equals to the volume of a sphere
[volume of a sphere]=(4/3)*pi*r³----> (4/3)*pi*1.27³---> 8.58 in³
the answer Part a) is
the volume of a tennis ball is 8.58 in³
Part b)
[volume of the container]=pi*r²*h-----> pi*1.43²*8----> 51.39 in³
[volume of 3 tennis balls]=8.58*3-----> 25.74 in³
the amount of space within the cylinder not taken up by the tennis balls is
51.39-25.74-----> 25.65 in³
the answer Part b) is
25.65 in³
Aw yis
take the coefients and put them in rows
![\left[\begin{array}{ccc}4&5&|-7\\3&-6&|24\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%265%26%7C-7%5C%5C3%26-6%26%7C24%5Cend%7Barray%7D%5Cright%5D%20)
divide 2nd row by 3
![\left[\begin{array}{ccc}4&5&|-7\\1&-2&|8\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%265%26%7C-7%5C%5C1%26-2%26%7C8%5Cend%7Barray%7D%5Cright%5D%20)
multiply 2nd row by -4 and add to top one
![\left[\begin{array}{ccc}0&13&|-39\\1&-2&|8\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%2613%26%7C-39%5C%5C1%26-2%26%7C8%5Cend%7Barray%7D%5Cright%5D%20)
divide top row by 13
![\left[\begin{array}{ccc}0&1&|-3\\1&-2&|8\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%261%26%7C-3%5C%5C1%26-2%26%7C8%5Cend%7Barray%7D%5Cright%5D%20)
multiply top row by 2 and add to bottom row
![\left[\begin{array}{ccc}0&1&|-3\\1&0&|2\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%261%26%7C-3%5C%5C1%260%26%7C2%5Cend%7Barray%7D%5Cright%5D%20)
x=2
y=-3
Given:
Discount = 40%
Sales tax = 7%
To find:
The total cost of levi jeans with an original price of x.
Solution:
Let x be the original price of the jeans. Then the price after 40% discount is




The price after 7% of sales tax.




Therefore, the total cost of the levi jeans with an original price of x is represented by the expression 0.642x.