Question

A swimming pool has to be drained for maintenance. The pool is shaped like a cylinder with a diameter of 19m and a depth of 2m . If the water is pumped out of the pool at the rate of 15m^3 per hour, how many hours does it take to empty the pool?
PLEASE HELP

Answer 1

Is this problem testing surface area or volume of a cylinder?

Answer 2

volume vs rate

Answer 3

yes.

Now the volume of a cylinder = (4/3) (pi)(radius)^3

Answer 4

what will be the volume of the water in this pool?

Answer 5

Plug the given information into the formula.

Answer 6

If the diameter is 19, what is the radius of the cylinder?

Answer 7

Volume of cylinder = (pi)(r^2)(h)... (4/3) (pi)(radius)^3 the same thing?

Answer 8

sphere?

Answer 9

Sorry...I stand corrected..

Volume = (4/3)(pi)(radius)^2 (height)

(I was thinking we are dealing with a sphere).

Answer 10

Thanks, @ehuman

Answer 11

lol I know it's late

Answer 12

@danitosh

Are you working with me on this problem to find the volume?

Answer 13

I'm just playing referee

Answer 14

I dont know what happened to this student.

Answer 15

Guess she'll call when she's ready.

Answer 16

agree

Answer 17

Yes! sorry. haha

Answer 18

the pool is shaped like a cylinder not a sphere

Answer 19

Volume of a cylinder is (pi)(radius)^2(height)

whats the volume of water in this pool?

we need radius and height.

We are told the diameter is 19. So what is the radius?

Answer 20

r=9.5

Answer 21

and the height is 2 meters

Answer 22

yes. and we know the height is 2.

So the volume = (pi)(9.5)^2(2) = what?

Use your calculator to compute that.

Answer 23

567.05

Answer 24

true.

Answer 25

water is draining out at 15 cubic meters per hour

Answer 26

so would it be 5 hrs?