The volume of the cone is
one-third of the volume of the cylinder which is equal to the product of area
of the base and the height. The equation is,
<span> V = (1/3)(pi)(r^2)h </span>
Dividing both sides of the
equation by (1/3)(pi)(h) will give us,
<span> 3V/(pi)(h) = r^2</span>
Taking the square-root of
both sides,
<span> r = sqrt(3V/(pi)(h))</span>
<h3>Answer: y = (3/2)x + 0</h3>
This is the same as y = (3/2)x
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Work Shown:
Find the slope of the line through (x1,y1) = (-2,-3) and (x2,y2) = (2,3)
m = (y2 - y1)/(x2 - x1)
m = (3 - (-3))/(2 - (-2))
m = (3 + 3)/(2 + 2)
m = 6/4
m = 3/2
The slope is the fraction 3/2. This is going to be in front of the x, or to the left of the x.
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Plug m = 3/2 and (x1,y1) = (-2,-3) into the point slope formula. Solve for y.
y - y1 = m(x - x1)
y - (-3) = (3/2)(x - (-2))
y + 3 = (3/2)(x + 2)
y + 3 = (3/2)x + (3/2)(2)
y + 3 = (3/2)*x + 3
y + 3 - 3 = (3/2)*x + 3 - 3
y = (3/2)x + 0
The y intercept is zero. This matches up with the fact the graph crosses the y axis at y = 0.
Answer:
The answer to this problem is B, C, and E.
Step-by-step explanation:
The figure shows a right triangle at each corner with legs 3 and b and hypotenuse 4. The Pythagorean theorem tells you the sum of the squares of the legs is equal to the square of the hypotenuse:
3² + b² = 4² . . . . . . put the numbers into the Pythagorean formula
9 + b² = 16 . . . . . . . evaluate the squares
b² = 16 - 9 = 7 . . . . subtract 9 to isolate the variable
b = √7 . . . . . . . . . . undo the square operation by taking the square root
