Suppose 15 of the people who voted for dee had not voted at all. how would this change affect the ratio of gene's votes to total votes

Gene's votes to Total votes

= Gene's votes: Total votes - 15

Since you did not provide the number of votes, I will give an example.

55 people voted for Dee, 45 people voted for Gene.  This means the Total votes cast was 100.

The ratio of Dee's votes to total votes is: 55:100  ⇒  11:20 when reduced

The ratio of Gene's votes to total votes is: 45:100  ⇒  9:20 when reduced

If 15 people who voted for Dee did not vote, then the total number of voters is 85 so the ratios change as follows:

Dee: (55-15):(100-15)   ⇒   40:85   ⇒   8:17 when reduced

Gene: (45-0):(100-15)   ⇒   45:85  ⇒   9:17 when reduced

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.