One of the stamps in evelyn's stamp collection is 19.51 mm wide and 24.4 mm long. how much longer is the length of the stamp than the width of the stamp?

The length of the stamp is 4.89 mm  longer than the width of the stamp

Step-by-step explanation:

One of the stamps in Evelyn's stamp collection is 19.51 mm wide and 24.4 mm long. How much longer is the length of the stamp than the width of the stamp?

To find how much longer the length of the stamp is than the width of the stamp, we will simple subtract the width of the stamp from the length of the stamp

That is;

Length of the stamp - width of the stamp

24.4 mm - 19.51 mm = 4.89 mm

Therefore the length of the stamp is 4.89 mm  longer than the width of the stamp

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.

answer:   2 multiplied by x =24

step-by-step explanation: