Well, there needs to be an equation.
Hello!
The volume of a cylinder is found by using the formula: V = πr²h.
The problem has given us the height of the cylinder, which is 14.7 centimeters, and the diameter which is 10.5 centimeters. The volume of a cylinder requires the radius, so therefore, to find the radius, divide the diameter by half, and that will give the radius.
R = 10.5 / 2
R = 5.25 centimeters
With that radius and the height, we can find the volume of the cylinder.
V = π(5.25)²(14.7)
V = 27.5625(14.7)π
V = 405.17π, 1272.23 (multiplied by 3.14), 1272.88 (multiplied by π)
Therefore, the volume of this cylinder is 1272.88 centimeters³.
Answer:
y=-5/3x+13.
Step-by-step explanation:
As a line that is perpendicular to anoher line has a slope that is the negative reciprocal of the line's original slope, we know that the slope of our new line is -5/3. As it passes point (12, -7), we can use the point slope formula which is y-y1=m(x-x1). So plug in, y+7=-5/3(x-12) and that gives us y+7=-5/3x+20 which gives our final answer of y=-5/3x+13.
There is one solution:
use elimination method
5x - 7y = 12
5y - 2x = -7 ---> change equation around
5x - 7y = 12
-2x + 5y = -7
2 x ( 5x - 7y) = 2 x (12) multiply both sides by 2
5 x (-2x +5y) = 5 x (-7)
this give you
10x - 14y =24
-10x+25y = -35 add down
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11y = - 11 x is eliminated to find y value
y = -1 input to one of the original equations
5(-1) - 2x = -7
-5 - 2x = -7
+5 +5 add 5 to both sides
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-2x = -2
x = 1
your coordinates for when they intersect is at (1, -1)
one solution
