You read 50 pages in an hour. your sister reads 40 pages in an hour. explain how to find out how many more pages you read than your sister reads in 1/2 hour?
a. i know that 50 • 40 = 2,000, so i read 1,000 more pages than my sister reads in 1/2 hour.
b. i know that 50 ÷ 40 = 5454, 5 ÷ 4 = 1 1/4, so i read 1 1/4 more pages than my sister reads in 1/2 hour.
c. because i read 10 more pages than my sister reads in 1 hour, i read 5 more pages in 1/2 hour.
d. since 5 • 4 = 20, i read 20 more pages than my sister reads in 1/2 one half hour.

answer: f = 32.2m

step-by-step explanation: that is the answer

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.