Respuesta :
Answer:
a) 0.012ft³
b)2.09 lb
c)0.791 lb
d) 0.012ft³
e) 6 inches
Step-by-step explanation:
a) To determine the volume of the shell of the jar we must determine the volume of the hollow cylinder:
[tex]V=3.1416\cdot{h}\cdot{(R^2-r^2)[/tex]
Where r is the inside radius and R the outer radius.
[tex]V=3.1416\cdot{6}\cdot{(3.1875^2-3^2)=21.87[/tex]
convert to cubic ft:
[tex]=21.87\cdot{0.0005787}=0.01266[/tex]
The volume of the glass shell is 0.012 ft³
b) The weight of the cylinder can be determined because we have the volume and the density. Weight is defined as the product of volume and density:
[tex]M=p\cdot{v}=165\cdot{0.01266}=2.09[/tex]
The weight of the jar is 2.09 lb
c) The displacement of water is just the density of water mutliplied by the volume of the jar:#
[tex]=0.01266\cdot{62.5}=0.79[/tex]
0.791 lb of water will be displaced.
d) The volume of the water displaced is:
[tex]=0.791/62.5=0.01266
e) The jar will be fully submerged because the density of the jar is larger than water.
In this exercise we have to calculate the volume of the cylinder and in this way we have to have knowledge of formulas and conversions, in this way we have to:
a) [tex]0.012ft^3[/tex]
b) [tex]2.09\ lb[/tex]
c) [tex]0.791 \ lb[/tex]
d) [tex]0.012ft^3[/tex]
e) [tex]6 \ inches[/tex]
a) To determine the volume of the shell of the jar we must determine the volume of the hollow cylinder:
[tex]V= \pi h (R^2-r^2)\\V= (3.1416)(6)(3.1875^2-3^3)\\V=21.87[/tex]
Convert to cubic ft:
[tex]= (21.87)(0.0005787)= 0.01266[/tex]
The volume of the glass shell is [tex]0.012 \ ft^3[/tex]
b) The weight of the cylinder can be determined because we have the volume and the density. Weight is defined as the product of volume and density:
[tex]M= pv= (165)(0.01266)= 2.09[/tex]
The weight of the jar is [tex]2.09 \ lb[/tex]
c) The displacement of water is just the density of water mutliplied by the volume of the jar:
[tex]V= (0.01266)(62.5)=0.791[/tex]
[tex]0.791 \ lb[/tex] of water will be displaced.
d) The volume of the water displaced is:
[tex]=0.791/62.5=0.01266[/tex]
e) The jar will be fully submerged because the density of the jar is larger than water.
See more about volume at brainly.com/question/1578538
