Question

A spherical tank has a radius of 6 feet. Frankie filled the tank with gasoline at a rate of 23 cubic feet per minute. At this rate, how long will it take Frankie to completely fill the tank without it overflowing?

Answer 1

the volume of the tank =
`(4)/(3) \pi r^(3) = (4)/(3) \pi (6)^(3)=288 \pi` ft^3

the time needed to fill the tank = 288pi / 23 = 39.3 minutes

Answer 2

Answer: Hello!

Here you have an spherical tank with a radius of 6 feet, the first step is obtain the volume of the tank:

The volume of a sphere is :
`v = (4)/(3) *pi*r^(3)`

where pi is 3.14159265...

in our problem r = 6 feet, so:

`v = (4)/(3) *3.1415*6^(3) = 508.7`

Then if the rate of the gasoline is 23 cubic feet per minute, then we want to know in how much minutes the tank will be filled.

we need to solve the next equation:

23*m = 508.7, where m arethe minutes

m = 509.7/23 = 22.11

So Frankie needs 22.11 minutes to fill the tank.