1) a) The volume of the sphere is 100 cubic centimeters.
b) The volume of the cylinder is 200 cubic centimeters.
2) The volume of the cone is 175 cubic centimeters.
What is the volume of a submerged object?
Herein we have two case of submerging solids into recipients full of liquid, the volume of the objects is equal to the volume of the displaced liquid. Now we proceed to calculate the volume of each object:
Point 1 - Part A:
0.8 L - 0.5 L = 3 · x
0.3 = 3 · x
x = 0.1 L
x = 100 cm³
The volume of the sphere is 100 cubic centimeters.
Point 1 - Part B:
0.8 L - 0.5 L = x + y
0.3 = x + y
0.3 = 0.1 + y
y = 0.2 L
y = 200 cm³
The volume of the cylinder is 200 cubic centimeters.
Point 2:
350 mL = 2 · z
z = 175 mL
z = 175 cm³
The volume of the cone is 175 cubic centimeters.
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