![61497](/avatars/33733.jpg)
61497
07.05.2020 •
Mathematics
The mass of the cylinder is 50,000 g. Find the density of the cylinder to the nearest tenth
answer choices
0.7 g/mm3
81.2 g/mm3
2.7 g/mm3
0.4 g/mm3
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Ответ:
Density of the Cylinder = 2.7 g/mm³
Step-by-step explanation:
Density of a cylinder is calculated using the formula =
Mass of the Cylinder ÷ Volume of the Cylinder
Step 1
The First step is to find the Volume of the Cylinder.
Volume of a Cylinder = πr²h
In the attached image , we are given:
Diameter of the Cylinder = 28mm
Radius of the Cylinder = Diameter ÷ 2 = 28mm ÷ 2
Radius of the Cylinder (r) = 14mm
Height of the Cylinder (h) = 30mm
The Volume of the Cylinder = πr²h
= π × (14mm)² × 30mm
= 18472.564803 mm³
Step 2
The second step would be to find the Density of the Cylinder.
Density of the Cylinder = Mass of the Cylinder ÷ Volume of the Cylinder
Mass of the Cylinder = 50,000g
Volume of the Cylinder = 18472.564803 mm³
Density of the Cylinder = 50,000g ÷ 18472.564803 mm³
= 2.7067167193 g /mm³
Approximately the Density of the Cylinder = 2.7 g/mm³
Ответ:
it is 1/2 i.e. the first option
this is simple ratio method;
white : brown
2 : 1
1 : x
x = 1/2 cups
Hope this helps!
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