What is the volume of a sphere having a diameter of 6 cm?
2 answers:
Answer:
113.1
Step-by-step explanation:
Volume of sphere = × π × r²
Volume of sphere = × π × 3²
Volume of sphere = × π × 9
Volume of sphere = × 9 π
Volume of sphere = 113.1
Answer:
Step-by-step explanation:
The formula to calculate the volume of a sphere is:
Where r is the radius of the sphere.
In this case we do not know the radius of the sphere, but we know the diameter.
By definition the diameter of a sphere is equal to twice the radius. This is:
In this case d=6 cm
So
Finally
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Answer:
one solution is (0, -2)
Step-by-step explanation:
The line y = -x is the boundary of the solution space of the first inequality. The less-than symbol (<) tells you that the line will be dashed and the shading will be below it. The line has a slope of -1 and goes through the y-intercept point (0, 0).
The line y = x - 2 is the boundary of the solution space for the second inequality. The less-than-or-equal-to symbol (≤) tells you the line will be solid (or equal to) and the shading will be below it (less than). The line has a slope of +1 and goes through the y-intercept point (0, -2).
The area of the graph where the shadings overlap is the solution space for the system of inequalities. Any point in that area will do, including points on the solid line where y < -x. (0, -2) is one such point.
