34 which set of ordered pairs does not represent a function? a ((1,10), (3,18), (5,26), (7,34), (9,42)) b…

34 which set of ordered pairs does not represent a function? a ((1,10), (3,18), (5,26), (7,34), (9,42)) b ((2,10), (3,20), (4,15), (5,5), (6,25)) c ((0,8), (5,4), (10,0), (15,4), (20,8)) d ((9,1), (6,2), (3,3), (6,4), (9,5)) 35 two solids are described in the list below. • one solid is a sphere and has a radius of 6 inches. • the other solid is a cylinder with a radius of 6 inches and a height of 6 inches. what is the difference between the volumes, in cubic inches, of the solids in terms of π? a 72π b 144π c 216π d 288π

34 which set of ordered pairs does not represent a function? a ((1,10), (3,18), (5,26), (7,34), (9,42)) b ((2,10), (3,20), (4,15), (5,5), (6,25)) c ((0,8), (5,4), (10,0), (15,4), (20,8)) d ((9,1), (6,2), (3,3), (6,4), (9,5)) 35 two solids are described in the list below. • one solid is a sphere and has a radius of 6 inches. • the other solid is a cylinder with a radius of 6 inches and a height of 6 inches. what is the difference between the volumes, in cubic inches, of the solids in terms of π? a 72π b 144π c 216π d 288π

Answer

Explanation:

Step1: Recall function definition

A function has one - to - one or many - to - one mapping, not one - to - many.

Step2: Check each option for one - to - many

In option D, the input $x = 6$ has two outputs ($y = 2$ and $y = 4$), and $x=9$ has two outputs ($y = 1$ and $y = 5$). So it is not a function.

Step3: Recall volume formulas

The volume formula for a sphere is $V_s=\frac{4}{3}\pi r^3$, and for a cylinder is $V_c=\pi r^2h$.

Step4: Calculate sphere volume

Given $r = 6$ inches, $V_s=\frac{4}{3}\pi(6)^3=\frac{4}{3}\pi\times216 = 288\pi$ cubic inches.

Step5: Calculate cylinder volume

Given $r = 6$ inches and $h = 6$ inches, $V_c=\pi(6)^2\times6=\pi\times36\times6=216\pi$ cubic inches.

Step6: Calculate volume difference

$V_s - V_c=288\pi-216\pi = 72\pi$ cubic inches.

Answer:

  1. D. ${(9,1),(6,2),(3,3),(6,4),(9,5)}$
  2. A. $72\pi$