Answer:
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Step-by-step explanation:
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The volume of a cone is given by V = 1/3πr²h. Since the diameter of the first cone is 4, the radius is 2; therefore the volume is
V = 1/3π(2²)(8) = 32π/3
We divide the volume of the sink, 2000π/3, by the volume of the cone:
2000π/3 ÷ 32π/3 = 2000π/3 × 3/32π = 6000π/96π = 62.5 ≈ 63.
The diameter of the second conical cup is 8, so the radius is 4. The volume then is:
V = 1/3π(4²)(8) = 128π/3
Dividing the volume of the sink, 2000π/3, by 128π/3:
2000π/3 ÷ 128π/3 = 2000π/3 × 3/128π = 6000π/384π = 15.625 ≈ 16
The circumference would be 30 ft, which comes from 6 people have 5ft of space each. 6 x 5 = 30. Which means the diameter is 9.55414013; Circumference divided by pi is the diameter. Once you divide the diameter by 2 for the radius, you get 4.777 which can be used to find the area of the table top. Area is pi x radius x radius = 3.14 x 4.777 x 4.777 =71.654 ft^2
Yes, that is correct. I checked it on my calculator. Good job!
$21.50(40) + $31.88 (62-40)
$21.50(40) + $31.88(22)
$860 + $701.36
$1561.36
