On monday allison made 12 out of the 22 basketball shots she attempted. at this rate how many shots will allison make on tuesday, if she attempts 30 basketball shots?

16 shots

Step-by-step explanation:

She made 12 out of 22, what is that in percentage?

We will divide 12 and 22 and multiply by 100.

So

12/22 = 0.5455 * 100 = 54.55%

Around 54.55% of shots are made by Allison.

Out of 30 shots, how many will she make at this rate?? We simply multiply "30" with the original rate (12/22) we got:

She will make about 16.36 shots from 30 shots. We can safely assume 16 shots to be made (out of 30)

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.