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GarryVolchara [31]
3 years ago
9

A right triangle with vertices J(4, 0), K(0,0), and L(0,5) is rotated around the x-axis. To the nearest tenth of a unit, what is

the volume of the resulting three-dimensional figure formed? Approximate as 3.14.
a. 83.7 units^3
b. 104.7 units^3
c. 251.2 units^3
d. 314.0 units^3
Mathematics
1 answer:
statuscvo [17]3 years ago
5 0
This is the concept of graphs and volume of the solid figures, given that the triangle J,K,L was rotated along the x-axis, the resultant figure was cone with with radius of 5 units and a height of 4 units;
The volume of a cone is given by;
V=πr^2(h/3)
r=5 units
h=4 units
V=π*5^2*(4/3)
V=104.72 units^3
the answer is B]
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You forgot to include the given line.

We need the given line to find the slope. The slope of parallel lines are equal. So, the slope of the line of the equation you are looking for is the same slope of the given line.

I can explain you the procedure to help you to find the desired equation:

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If you clear y in every equation you get:

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You  must verify which equations pass through the point (-3,2).

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4) Yet you have to find the slope of the given equation, if it is 3/4 the solutions is the equation 3x - 4y = -17; if it is -4/3 the solution is the equation 4x + 3y = -6.
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