The snowman is made of 3 spheres (balls) of snow. The diameters, from top to bottom, are 12, 16, 18 inches
Therefore, the radii of the 3 spheres are, respectively, 6, 8, and 9 inches.
The volume of a sphere of radius, r, is given by the formula: V = 4/3 π r3
So, the total volume of snow is the sum of the 3 volumes: V = 4/3 π (63 + 83 + 93)
= 4/3 π (1,457)
=6,099.97
Your answer would be D. 6,099.97
I hope this helps!
Answer:
2.02/2%
Step-by-step explanation:
Divide
Let x and y represent the two numbers that add up to 24.
x + y = 24
=> y = 24 - x
The product of the two numbers is P = x*y = x*(24 - x) = 24x - x^2.
To maximize the product P, solve P' = 0 for x.
P' = 24 - 2x
24 - 2x = 0
=> x = 12
Also P'' = -2 which is negative
for x = 12
The product when x = 12 is 12*12 = 144
hope it helps!
Answer:
So we have x+3 if -3<=x<=-1
and 5 if -1<=x<=1
Step-by-step explanation:
The one piece from -1 to 1 is horizontal so the line is in the form of y=a number. It goes through 5 on the y-axis so the equation there is y=5.
From -3 to -1, that is a line with positive slope (since that part is increasing).
Slope=rise/run
We see from the filled in dot to the unfilled in dot that the rise is 2 and the run is 2 so the slope is 2/2=1.
So if we did extend this line where we go at on the y-axis? It would go through 3 because starting from the unfilled dot and rising 1 and running 1 will get us to the 3 on the y-axis.
The equation of a line in slope-intercept form is y=mx+b.
We have m=1 and b=3 so the equation is y=1x+3 or just y=x+3.
So we have x+3 if -3<=x<=-1
and 5 if -1<=x<=1
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