First Step: Creating Your Own Emblem You are going to use your name, a coordinate graph, some transformations to find your unique emblem. First, in the name chart, write the first letters of your first name. If your name is less than 6 letters long, start over on your name. (See the example where Rob only has three letters and must start over again with his name.) Now write in the first 6 letters of your last name. Again, if you need more letters start over at the beginning of your name. Use the letters-to-number conversion chart to get the coordinates for your original shape. The X coordinate come from the first name and the Y coordinate comes from the last name. If any ordered pairs duplicate, switch the x- and y-coordinates so that all coordinate pairs are unique. Graph your original shape on the coordinate grid on the next page by connecting the points along the perimeter of shape. Make sure your points are connected to form a closed figure. (This may mean that points are not be connected in order using the name Philap Radebe ​

y=mx+b

step-by-step explanation:

m slope, b y-intercept

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.