Answer:
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Answer:
V = πr²h
Step-by-step explanation:
The formula for the volume of a cylinder is ...
V = πr²h
where V is the volume, r is the radius, and h is the height of the cylinder.
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<em>Comment on the formula</em>
This is a specific version of the formula for any sort of "prism" with parallel bases and a uniform cross section (parallel to the bases). The volume of such a figure is computed as ...
V = Bh
where B is the area of the base and h is the perpendicular distance between the parallel bases. Here, the base is a circle, so has area formula ...
B = πr²
Filling this into the volume formula gives ...
V = πr²h . . . . . as above
Answer:
x = 8 and y = - 1
Step-by-step explanation:
The equation of a vertical line parallel to the y- axis is
x = c
where c is the value of the x- coordinates the line passes through
The line passes through (8, - 1 ) with x- coordinate 8, then
x = 8 ← equation of vertical line
The equation of a horizontal line parallel to the x- axis is
y = c
where c is the value of the y- coordinates the line passes through
The line passes through (8, - 1 ) with y- coordinate - 1, then
y = - 1 ← equation of horizontal line
Let x be the amount of Ann money, y be Jessica's money and z Mary money.
30% of z equates 0.3*z.
Ann has 30% less than z so: x = z - 0.3z = 0.7z.
70% of z equates 0.7z.
"Jessica has 70% more than Mary " we deduce the equation: y =z+0.7z= 1.7z.
Signe the total is $102, we deduce the equation x+y+z = 102.
x=0.7z and y=1.7z then 0.7z+1.7z+z=102, therefore 3.4z=102 then
z =102/3.4 = $30.
x=0.7*30= 21 and y=1.7*30=51.
Ann has $21, Mary has $30 and Jessica has $51.