Question

help please number 22

can someone check this answer please :)

https://books.google.com/books?id=zi3aBAAAQBAJ&pg=PA459&lpg=PA459&dq=a+spherical+water+tank+24+ft+in+diameter+sits+atop+a+60+ft+tower.+the+tank&source=bl&ots=5YmOCJfORL&sig=6kITM44JtYBqUm3PhFeTRgJuhe8&hl=en&sa=X&ved=0ahUKEwjDkvbflrPNAhUMQVIKHWQtCpIQ6AEINDAE#v=onepage&q=a%20spherical%20water%20tank%2024%20ft%20in%20diameter%20sits%20atop%20a%2060%20ft%20tower.%20the%20tank&f=false

Answer 1

sphere is 24 feet in diameter = 12 foot radius
sphere volume = 4/3 * (PI * radius^3)
sphere volume = 4/3 * (3.14159265 * 12^3)
sphere volume = 4/3 * (3.14159265 * 1728)
sphere volume = 7,238.23 cubic feet

To figure out more of the puzzle, water weighs 62.4 pounds per cubic foot.
So, the weight of water in the sphere would weigh 7,238.23 * 62.42796
451,867.93 pounds

Answer 2

oh okay why is it pi ^3 ?

Answer 3

You don't need to know pi^3
pi = 3.14159265 OR to make it simpler 3.14

Answer 4

oh wait nvm lmao i meant the radius ^3

Answer 5

12^3 = 12*12*12 = 1,728
(1728 is also a very great website www.1728.org) :-)

Answer 6

http://www.1728.org

Answer 7

oh okay whats that site about ?

Answer 8

lots of calculators for algebra, geometry, trig, etc
it's mine and just an incredible coincidence that the number just happened to appear in a question you asked.
We can return to the question.

Answer 9

ohhh okie

Answer 10

I trust you know a little bit of physics to finish the problem - such as how quickly can a 1.5 horsepower motor move 451,867.93 pounds of water up a 60 foot pipe?

Answer 11

lool well havent taken physics just calc 1 and calc 2

Answer 12

Okay the question states that 1 horsepower = 550 foot-pounds per second.
The motor is 1.5 hp so it moves 825 foot-pounds per second.

Answer 13

whaaa lol how :o

Answer 14

It's been a LONG time since I calculated foot-pounds and things like that but let's see if I'm right.
451,868 pounds of water have to be lifted 60 feet so, that requires
451,868 * 60 = 27,112,080 foot-pounds of work???

Answer 15

If the motor works at 825 foot-pounds per second, then the time would be:
27,112,080 / 825 = 32,863 seconds

Answer 16

looks good too me but dont have the answer to this even one D:

Answer 17

32,863 seconds is about 9.13 hours
but I am not sure if I did that correctly

Answer 18

lol hmm

Answer 19

perhaps you can get someone else to help you with this.

Answer 20

looks good too me :) i trust ya answer <3

Answer 21

Maybe start a new thread with the question "Can someone check my answer?"

Answer 22

Okay, well thanks :-)

Answer 23

:D

Answer 24

@agent0smith

Answer 25

@Photon336

Answer 26

@zepdrix