Answer:
Number of scoops of water from sink with 1st cup ≅ 21 scoops
Number of scoops of water from sink with 2nd cup ≅ 5 scoops
Step-by-step explanation:
Volume of sphere = 2000 * π ÷ 3 in³
Volume of Cylinder = π * r² * h in³
r = radius
h = height
USING 1ST CUP
diameter of 1st cylinder cup = 4 inch
radius of 1st cylinder cup = 2 inch
height of 1st cylinder cup = 8 inch
Volume of 1st cylinder cup = V₁ = π * 2² * 8 = 32 * π
Number of scoops of water from sink with 1st cup = volume of sink ÷ volume of cup
Number of scoops of water from sink with 1st cup = 2000 * π ÷ 3 ÷ 32 * π = 20.83
Number of scoops of water from sink with 1st cup ≅ 21 scoops
USING 2ND CUP
diameter of 2nd cylinder cup = 8 inch
radius of 2nd cylinder cup = 4 inch
height of 2nd cylinder cup = 8 inch
Volume of 2nd cylinder cup = V₁ = π * 4² * 8 = 128 * π
Number of scoops of water from sink with 2nd cup = volume of sink ÷ volume of cup
Number of scoops of water from sink with 2nd cup = 2000 * π ÷ 3 ÷ 128 * π = 5.21
Number of scoops of water from sink with 2nd cup ≅ 5 scoops
