Mia has a conical container filled with chocolates. she knows that the volume of the container is equal to one-third of the product of , the square of the radius of the base of the container, and the height of the container. mia measured the height of the container and found it to be 14 centimeters. she also measured the radius of the base of the container and found it to be 4 centimeters.

if v represents the volume of the conical container, then which of the following equations can be used to calculate the volume of the container? mia has a conical container filled with chocolates. she knows that the volume of the container is equal to one-third of the product of , the square of the radius of the base of the container, and the height of the container. mia measured the height of the container and found it to be 14 centimeters. she also measured the radius of the base of the container and found it to be 4 centimeters.

if v represents the volume of the conical container, then which of the following equations can be used to calculate the volume of the container?

y-1700=200(x+4)

step-by-step explanation:

200(x+4) is 200x + 800 she is saving 200 per week x is the weeks and the -1700 is. us that’s howmuch she already had

dont think so

step-by-step explanation:

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.