The shape of the water is that of a "spherical cap." The formula for the volume of a spherical cap is ...
... V = π·h²·(r -h/3) . . . . . . . from web search
For a radius of 5 in, this is
... V = π·h²·(5 -h/3) . . . . in³
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For h=0
... V = π·0²·(5 -0/3) = 0
For h=5 in
... V = π·(5 in)²·((5 -5/3) in) = (2/3)π·5³ in³ . . . . . the volume of a hemisphere of radius 5
5x-2x=7x+2x-24
3x = 9x -24
3x - 9x = -24
-6x = -24
x = -24/-6
x = 4
Answer: 336cm^3
Step-by-step explanation: First of all. We can combine the two different 4's to make this one shape so it is easier to calculate. We know to get volume it is l * w * h=v. So we just plug in the values. We have 8*3*14. Now just multiply. 8*3*14 = 336
Answer:
R: √(13)
Step-by-step explanation:
Distance formula:
r^2 = (x-h)^2 + (y-k)^2
Center: (h,k)=(-1,5)
Circle: all points of (x,y)=(-3,2)
r^2=(-3+1)^2 + (2-5)^2
r^2=(-2)^2 + (-3)^2
r^2= 4 + 9
r^2=13 ((r^2)^(1/2)) = 13^(1/2) = 3.6055