Respuesta :
Answer:
1000
Step-by-step explanation:
To find the volume of the oil in the cylindrical tank, you can use the formula for the volume of a cylinder:
�
=
�
�
2
ℎ
V=πr
2
h
where:
�
V is the volume,
�
π is the mathematical constant (approximately 3.14159),
�
r is the radius of the base,
ℎ
h is the height.
In this case:
�
=
80
cm
r=80cm (base radius),
ℎ
=
200
cm
h=200cm (height).
�
=
�
×
(
80
)
2
×
200
V=π×(80)
2
×200
Now, you mentioned that the tank is one-fifth full of oil, so you need to multiply the calculated volume by
1
5
5
1
to find the volume of the oil:
Volume of oil
=
1
5
×
�
×
(
80
)
2
×
200
Volume of oil=
5
1
×π×(80)
2
×200
Now, convert the volume from cubic centimeters to liters using the conversion factor
1
liter
=
1000
cm
3
1liter=1000cm
3
:
Volume (liters)
=
1
5
×
�
×
(
80
)
2
×
200
1000
Volume (liters)=
5
1
×
1000
π×(80)
2
×200
Calculate this expression to find the volume in liters. Then, round your answer to the nearest liter.
