Mathematics, 28.07.2019 15:30 alexandroperez13

Answer ! ollie's oil company wants to repaint the barrels in which the oil is stored. the workers need to know how much area they will be painting so that they can order the correct amount of paint. if an oil barrel is 5 feet tall with a radius of 3 feet, what is the surface area of one barrel? 43.61 square feet 85.7 square feet 150.72 square feet 180.34 square feet plz explain why, i wanna know how to do it myself

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One barrel is equal to one cylinder. A cylinder consists of two faces which are circles and everything in between. The area of a circle is pi times radius squared. Using 3.14 as pi, multiply the square of the radius (9) by 3.14. You should get 28.26 . Multiply that because a cylinder consists of TWO circles as faces. That should be 56.52. To find the "wrap" or surface area of the space in between the circle, you need to find the circumference of the circle and multiply it by the height of the barrel (5ft). The circumference of a circle is pi (3.14) times diameter (6). The circumference of the barrel should be 18.84. Multiply that by the height and you should get 94.2. Now, take that number and add it to 56.52. The final answer would be 150.72

Answer from: savannahvargas512

150.72 square feet

Step-by-step explanation:

The height of the oil barrel is = 5 feet

The radius of the oil barrel is = 3 feet

We have to find the surface area of the barrel. Surface area means the outside part of something.

The surface area is given as:

(Circumference of circle times height or the circular area between bases) + (area of 2 circles i.e upper and lower bases)

$SA=2\pi rh+2\pi r^{2}$

Putting the values in formua;

$SA=(2\times3.14\times3\times5)+(2\times3.14\times3^{2}$

= 94.2+56.52=150.72 square feet

Hence, the surface area of a barrel is 150.72 square feet.

Answer from: Quest

$y> \frac{1}{3}x$ and y≤ -x +4 .

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be = $\frac{1-0}{3-0} = \frac{1}{3}$ .

y-intercept of dotted line is y=0 only.

plugging slope m= $\frac{1}{3}$ and b=0 in slope-intercept form y=mx+b, we get

$y=\frac{1}{3}x$ .

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

$y> \frac{1}{3}x$ .

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be = $\frac{4-1}{0-3} = \frac{3}{-3}=-1$ .

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

y≤ -x +4 .
Write a system of inequalities to represent the shaded portion of the graph.

Answer from: Quest

stop cheating

step-by-step explanation:

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