Find what r equals -8 - 6(r + 4) = -8r - 38
(Explanation please)

r = -3

Step-by-step explanation:

-8-6(r+4)=-8r-38 distribute -6 into the parentheses

-8-6r-24=-8r-38 simplify

-6r-32=-8r-38 add 8r to both sides

2r-32=-38 add 32 to both sides

2r=-6 divide both sides by 2

r = -3

Step-by-step explanation:

Alright.

First, we'll distribute that .

Next, I'm going to move the to the other side.

That means the sign changes. Now, I'll combine like terms on the left.

Now, I'll move the over to the right.

Divide both sides by 2.

And we're done!

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.

answer: it's d

step-by-step explanation: