A Cylindial water tank carries a volume of 150 lwhen it's tell full. The water tank has a base surface with a diameter of 140 cm. what is the height of the water tank. ​

9.744180189 cm

Step-by-step explanation:

1 liter = 1 dm³ (cube with 10cm side lengths) =

= 10×10×10 cm³ = 1000 cm³

the volume of a cylinder is

base area × height

and the base area is a circle

area = pi×r²

r (radius) is half the diameter.

so, we know

volume = 150000 cm³

r = diameter/2 = 70 cm

so, we have

150000 = pi×r² × height = pi×70² × height =

= pi×4900 × height

1500 = pi×49 × height

height = 1500 / (pi×49) = 9.744180189... cm

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.

step-by-step explanation: