For which of the following sets of data should a stacked bar chart be used? A. The average height of men vs. the average height of women B. The number of red cars vs. the number of red bicycles C. The total number of movies watched categorized by science fiction vs. non-science fiction D. The average age of surfers vs. the average age of scuba divers

The correct option is C. The total number of movies watched categorized by science fiction vs. non-science fiction.

From the definition of stacked bar chart it  is a graph that is used to break down and compare parts of a whole. Each bar in the chart represents a whole, and segments in the bar represent different parts or categories of that whole.

In option A. the total average height of men and women cannot be considered as a whole because it can be a fraction or integer also. so the stacked chart cannot be used.

In option B. the total number of red cars and bicycles can't considered as a whole because cars and bicycles are two different kinds of  objects.

In option C. the total number of movies watched categorized by science fiction and non-science fiction can be considered a whole because science and non-science fiction movies are the same sets of data and they sums up to the total number of movies.

Hence The correct option is C. The total number of movies watched categorized by science fiction vs. non-science fiction.

For more details on Stacked bar chart follow the link below:

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C. The total number of movies watched categorized by science fiction vs. non-science fiction

Step-by-step explanation:

A stacked bar chart is a type of graph that is mostly used to simplify multiple parts and compare them as a whole.

It uses different "bars" and each bar represents one part of the whole and segments of that bar show the different parts or categories of the whole.

Consider option A

In this option, the total average height of men and women cannot be considered as a whole. Therefore, the stacked chart cannot be used.

Consider option B

In this option, the totak number of red cars and bicycles cannot be considered as a whole because cars and bicycles are two different kinds of sets.

Consider option C

Here, the total number of movies watched categorized by science fiction and non-science fiction can be considered a whole because science and non-science fiction movies are the same sets of data and they add up to the total number of movies.

Hence, a stacked graph is appropriate here.

Option C is the correct answer

answer: ratio of volume of cone (with 3 times the height and equal diameter) to volume of cylinder is 2 to 1. the value of π is not used.

step-by-step explanation:

radius is diameter/2 = 4.

area of circle is π r^2.

volume of cylinder is height × area of base = hπr^2 = 3(4^2) π = 48π cubic inches.

not knowing the formula for volume of cone, i calculate it using calculus (which is for calculating things).

volume of cone is integral 0 to h area(y) dy. area(y) is π r(y)^2. r(y) runs r to zero as y runs zero to h, r(0) = r, r(h) = 0.

r(y) = r - r/h y

area(y) = π (r - r/h y)^2 = π (r^2 - 2r^2y/h + r^2y^2/h^2) = π r^2(1-2y/h+y^2/h^2)

antiderivative area(y) = π r^2 (y-y^2/h+y^3/(3h^2))

integral 0 to h = π r^2(h-h^2/h+h^3/(3h^2) - (0)) = π r^2(h - h + h/3) = π r^2(h/3) = π/3 r^2 h

volume of this cone is π/3(4^2)18 cubic inches.

= 6 16 π = 96π cubic inches.

cone has twice the volume, 96/48.

cone height is 6 times the cylinder.

ratio of volume formula: π r^2 cancels.

cone over cylinder ratio is 6h/3 to h, 2 to 1.