Ineed on this question due to the fact i have completely forgot how to solve something so simply in 5th grade now that i am in 10th. embarrassing, i know haha.

- make sure when answering with the accurate answer, describe the steps you did and have the steps shown below.

you! (also, click on the mathematical equation that is in the picture to answer the question accurately since the whole equation is there.

10x^3+13x^2-15x-67

Step-by-step explanation:

First you distribute- 10x^3+25x^2-40-12x^2-15x-27

                      you distribute the 5 through then the negative 3 through

Then you combine like terms

        10x^3+13x^2-15x-67

Then that is just your answer after you add the ones with the squared together and the ones with no variables together

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.

move it to the other side

step-by-step explanation: