Math, asked by Lipimishra2, 1 year ago

A cylindrical reservoir is 14m in diameter. Water is poured into it at the rate of 350 l/m. Find the rate in cm/hr at which the water level rises in the reservoir.

Answers

Answered by Vsauce1

Refer to the attachment :D

Attachments:

Lipimishra2: Oh. I get it. Tysm.

Vsauce1: sorry for the picture quality.... it got degraded... idk why

Lipimishra2: Tis totally visible.

Vsauce1: And welcome

Lipimishra2: Seems like you love Vsauce or else you are the one. :P

Vsauce1: I guess Vsauce has a pretty good handwriting.... not a scribble like mine

Lipimishra2: Lol.

Lipimishra2: Any kind of handwritin is fine as long as it's understandable. :P

Vsauce1: That's what i keep telling myself.... helps with my insecurities

Answered by tardymanchester

Answer:

The water level rises in the reservoir is 13.6 cm/h.

Step-by-step explanation:

Given : A cylindrical reservoir is 14m in diameter. Water is poured into it at the rate of 350 l/m.

To find : The rate in cm/hr at which the water level rises in the reservoir.

Solution :

A cylindrical reservoir is 14m in diameter.

Radius of the cylinder is 7 m.

The area of the cylinder is

A=πr²

A=(22/7)*7*7

A=154 meter square

1m³=1000 l

1 l=1/1000 m³

350 l=350/1000 m³

350 l=0.35 m³

Volume of the cylinder is

V=A × h

0.35=154 × h

h=0.0022 m

1 hour = 60 minute,

h=0.0022*60= 0.136 m/h

1 m=100cm

h=0.136*100=13.6 cm/h

Therefore, The water level rises in the reservoir is 13.6 cm/h.

Previous Question

Next Question