Answer:
1) Number of scoops = 42
2)Number of scoops = 10
Step-by-step explanation:
Volume of the sink = (4000/3)π in³
1)
Diameter = 4 in ∵ Radius = 4/2 = 2 in
Height = 8 in
Volume of the cylindrical cup = [tex]\pi r^{2}h = \pi 2^{2} * 8 = 32\pi[/tex] in³
Number of cups of water that must be scooped out = Volume of the sink/ Volume of the cylindrical cup
= (4000/3)π / 32π ==> 42
Number of scoops = 42
b)
Diameter = 8 in ∵ Radius = 8/2 = 4 in
Height = 8 in
Volume of the cylindrical cup = [tex]\pi r^{2}h = \pi 4^{2} * 8 = 128\pi[/tex] in³
Number of cups of water that must be scooped out = Volume of the sink/ Volume of the cylindrical cup
= (4000/3)π / 128π ==> 10
Number of scoops = 10