A cylindrical tank is half-full of oil. The cylinder has a base radius of 100 cm. The height of the cylinder is 250 cm. How many litres of oil are in the tank? 1 litre = 1000 cm3

Question

Mathematics

Harmony Harper

19 September, 10:22

A cylindrical tank is half-full of oil. The cylinder has a base radius of 100 cm. The height of the cylinder is 250 cm. How many litres of oil are in the tank? 1 litre = 1000 cm3

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Answers (2)

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Rachel French · Answer 1

V=hpir²

1/2 full

Vcylinderthisone = (1/2) hpir^2

given

h=250

r=100

so

V = (1/2) (250) pi (100) ²

V=125pi10000

V=1250000pi

aprox pi=3.141592

V=3926990 cm^3

divide by 1000

3926.99 liters

about 3927 liters

Allison Moore · Answer 2

V=πr²h

V=π (100) ² x 250

V=7853982.5 cm³

Then do the conversion:

1 litre = 1000 cm³

x litre = 7853982.5

Cross multiply:

1000x = 7853982.5

x = 7853982.5/1000

x = 7853.98 litres