Jack is putting up new shelves. He is using pieces of wood as shown below. measures 3 1/5 meters long, Jack has 8 pieces of wood that are the same length. A. Write an equation to show how to find the total length, in meters, of the 8 pieces of wood. Jack said that the total length of the 8 pieces of wood is 24 1/5 meters. Is Jack correct? Why or why not? B. Along with the wood, Jack is also using some nails to build the shelves. One box of nails has a mass of 2 3/4 kilograms (kg). Jack used between 1/2 and 3/4 of the nails in the box. How many kilograms of nails did Jack use to build the shelves? Show your work or explain your answer.

the expression (1.26)2t reveals the approximate rate of increases in the number of plants semiannually.

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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.

the answer is a.

step-by-step explanation:

in three games of golf, alex shot two under par four times.