1) 108
2) -192
3) 128
4) 135
5) -200
Answer:
The ratio of the height of the cone to the height of the cylinder is 3 to 1
The ratio of the height of the cone to the radius of the sphere is 4 to 1
Step-by-step explanation:
First we need to know the volume of a cylinder, a cone and a sphere:
V_cylinder = pi*r^2*h
V_cone = (1/3)*pi*r^2*h
V_sphere = (4/3)*pi*r^3
If they have the same volume:
The ratio of the height of the cone to the height of the cylinder is:
V_cone / V_cylinder = 1
(1/3)*pi*r^2*h1 / pi*r^2*h2 = 1
(1/3) * h1 = h2
h1 / h2 = 3
So the ratio is 3 to 1
The ratio of the height of the cone to the radius of the sphere is:
V_cone / V_sphere = 1
(1/3)*pi*r^2*h / (4/3)*pi*r^3 = 1
h / 4r = 1
h / r = 4
So the ratio is 4 to 1
The answer is 65880000 and here are the steps
Answer:
x = 8, y = 3.
Step-by-step explanation:
11x − 20y = 28
3x + 4y = 36 multiply this equation by 5:
15x + 20y = 180
Add this new equation to the first one ( to eliminate the 20y):
26x = 208
x = 208/26 = <em> </em>8.
Substitute x = 8 into the second equation:
3(8) + 4y = 36
4y = 36 - 24 = 12
y = 3.
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