Question

2 in volleyball statistics, a block is recorded when a player deflects the ball hit from the opposing team. additionally, announcers often keep track of the average number of blocks a player records in a game. here is part of a table that records the number of blocks and blocks per game for each player in a women’s volleyball tournament. a scatter plot that goes with this table follows. table and scatter plot omitted label the axes of the scatter plot with the necessary information. 3 a cylinder has a radius of 4 cm and a height of 5 cm. a what is the volume of the cylinder? b what is the volume of the cylinder when its radius is tripled? c what is the volume of the cylinder when its radius is halved?

Explanation:

Question 2

The table has two variables: total blocks (discrete, larger numerical range: 0-13) and blocks per game (continuous, smaller range: 0-1.18). In scatter plots, the independent variable (or the variable with the wider range) is typically the horizontal (x) axis, and the dependent/derived variable is the vertical (y) axis.

Step1: Recall cylinder volume formula

The volume of a cylinder is $V = \pi r^2 h$, where $r$ = radius, $h$ = height.

Step2a: Calculate original volume

Substitute $r=4$, $h=5$:
$V = \pi (4)^2 (5) = \pi \times 16 \times 5 = 80\pi$

Step2b: Calculate volume with tripled radius

Tripled radius: $r=4 \times 3 = 12$. Substitute $r=12$, $h=5$:
$V = \pi (12)^2 (5) = \pi \times 144 \times 5 = 720\pi$

Step2c: Calculate volume with halved radius

Halved radius: $r=\frac{4}{2}=2$. Substitute $r=2$, $h=5$:
$V = \pi (2)^2 (5) = \pi \times 4 \times 5 = 20\pi$

Answer:

• Horizontal (x-axis): Blocks
• Vertical (y-axis): Blocks per game

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Question 3