Your tank should have a 4’ by 4’ square base (4’ means 4 feet). Determine how high the water will be in the tank. Label this calculation “Water Height” and include this calculation on the design sheet. When the teacher falls in the water level will rise due to displacement. Determine how high the water will rise (assuming the teacher is entirely submerged in the water). Label this calculation “Displacement Height” and include it on the design sheet. Since you want to keep water from splashing out, add an additional foot to the tank height (beyond the displacement height). Determine the height of the tank and label this calculation “Tank Height” and include this calculation on the design sheet. Teacher Volume = 32 cubic feet Water Volume = 96 cubic feet

you should pay $0.88

what is the image?

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.

a

step-by-step explanation:

113.1

step-by-step explanation:

v=4

3πr3=4

3·π·33≈113.09734