URGENT PLEASE HELP In this unit, you learned about rational and irrational numbers. The following is a number and two students’ explanations on whether the number is rational or irrational.

Start-fraction Start Root 2 End Root over 8 end-fraction

Student A: Start-fraction Start Root 2 End Root over 8 end-fraction is a rational number because it can be written as a fraction.

Student B: Start-fraction Start Root 2 End Root over 8 end-fraction is an irrational number because start root 2 end root is irrational.

Evaluate the reasoning provided by both student A and B, and correct the errors. Make sure to provide proper reasoning.
Come up with one challenging rational or irrational number in your post. Make sure to not include the answer.

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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.

125 yards

step-by-step explanation:

i take 75 plus 50.

i think the answer is d im not sure