Answer:
3927 litres of oil to the nearest litre.
Step-by-step explanation:
The volume of the cylinder = π r^2 h
= π * 100^2 * 250.
When half full the volume is
1/2 * π * 100^2 * 250
= 3926991 cm^3 Dividing this by 1000:
= 3927 litres.
A cylindrical tank is half-full of oil.
There are 3928 liters of oil in the tank
Volume of cylinder is teh amount of material the cylinder holds. Volume is the density of the cylinder.
Volume Formula :
[tex]volume = \pi r^2h[/tex]
Given the radius of the cylinder is 100cm
Height of the cylinder is 250 cm
Substitute all the values inside the formula
[tex]V=\pi (100)^2(250)\\V=2500000\pi[/tex]
Cylinder tank is half full of oil . To find half of the volume , we divide the volume by 2
[tex]V=2500000\pi\\Half - full = \frac{2500000}{2}\pi \\Half-full =3926990.817 cm^3[/tex]
Given that 1 litre= 1000cm^3
convert cubic centimeter to litres
[tex]1000cm^3= 1litre \\3926990.817 cm^3=\frac{3926990.817 }{1000} \\1250000 cm^3=3927.99 liters[/tex]
There are 3928 liters of oil in the tank
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