Maths help?

Question

I need help with this sum. Plz give the ans with procedure.

A cylindrical barrel 70 cm in diameter and 80 cm in height is filled with water. A leak at the bottom drains away 0.2 litres of water every minute. HOw long will it take for the water level to drop by 6cm?

PLz ans the sums with procedure. I will be really thankful to u.

Answer 1

Calculate the volume of water that needs to leak out:

V = Pi times radius squared times height
= Pi times 0.35 squared times 0.06 (use metres for all measurements)
= Pi times .1225 times 0.06
= 0.02309 cubic metres

1000 litres in a cubic metre, so multiply by 1000

= 23.09 L

We lose 0.2 litres per minute, so divide the starting litres by 0.2:

23.09 / 0.2

= 115 minutes.

Answer 2

sure. If the level drops by 6 cm, you want to find the VOLUME of the water that leaked out in total.

Vcyl=pi r^2 h

Vcyl=pi 35^2 (6)

35, because that is half of the diameter, and 6, because that is the height to find the volume of the missing water.

Vcyl = 23,091 cubic centimeters, which you need to convert to liters.

23,091 cubic centimeters = 23 liters.

23 liters leaked, at a rate of .2 liters per minute.

23 liters * 1 min/.2 liters = 115 minutes, give or take.

Hope this all helps!

Answer 3

Area of cylindrical drum= 3.14 x 35 x 35 = 3846.5 cm squared.
Volume of water that must be drained if the height is dropped by 6 cm = 3846.5 x 6 cm = 23079 cm cubed. = 23.1 litres.

In 1 min, 200 ml or 0.2 litres is drained,
Time taken= 23.1 /0.2 = 115.5 min = 1 hr 55 min & 30 s.

Answer 4

Calculate the volume of water that needs to leak out:

V = Pi times radius squared times height
= Pi times 0.35 squared times 0.06 (use metres for all measurements)
= Pi times .1225 times 0.06
= 0.02309 cubic metres

1000 litres in a cubic metre, so multiply by 1000

= 23.09 L

We lose 0.2 litres per minute, so divide the starting litres by 0.2:

23.09 / 0.2

= 115 minutes.

Answer 5

volume of water that will flow out = surface area of change in water level
= pi * (diameter/2)^2*(change in water level)
= 22/7*(70/2)^2*6 cubic cm.
=23100 cubic cm

1liter = 1000 cubic cm
0.2 liter = 200 cubic cm

time taken = 23100/200
=115 minutes

Answer 6

Were you asleep during this lesson? It's obviously more important for you to get the answer than to ask your teacher to explain it to you. This means you're either too stupid to get it or too lazy to bother, even though it's a really simple question.

Seems like you never do your own homework from your other questions either.

Please give my regards to the rest of the Moron Club when you become a lifelong member. Excuse my absence, but they won't allow me in because my brain works.

Answer 7

diameter Φ = 0.7m
hight h = 0.8 m
Q =0.2 L/min
Volume of water = π(Φ/2)² *h
=π (0.7/2)² *0.8
= 0.30787608 m³
=307.87608 L

when water level drop by 6 cm
h = 80 - 6 =74 cm = 0.74m
volume of water then = π(Φ/2)² *h
V = π (0.7/2)² *0.74
V = 284.78537 L

ΔV = 307.87608 - 284.78537 = 23.0907 L
t =ΔV / Q
t = 23.0907 / 0.2
t = 115.45 min
Time = 1 Hr 55min 29 sec

Answer 8

70cm x 80cm = 560cm2
560cm2 - 6cm = 554cm2
554cm2 divided by 0.20litres = (ans)

Answer 9

i hate calculus

Answer 10

damn mathematics!!