Question

a spherical storage tank has a diameter of 24 ft and is full of water. how many delivery trucks with a cylindrical tanks measuring 4 ft in diameter and 10 ft long can be completely filled from the storage tank?

Answer 1

Diameter of the spherical storage tank = 24 ft

So, radius of the tank =
`(24)/(2)=12` ft

Volume of the spherical tank = 4/3 * PI * r³

=
`(4)/(3)*3.14*12*12*12`

= 7234.56 cubic feet

Diameter of cylindrical tank = 4 ft

So, radius =
`(4)/(2)=2` ft

Height of cylindrical tank = 10 ft

Volume of cylindrical tank = PI * r² * h

=
`3.14*2*2*10=125.60` cubic feet

So, the number of cylindrical tanks that can be filled from the spherical tank are =

`(7234.56)/(125.60)=57.6`

Hence, 57 cylindrical tanks can be completely filled from the big spherical tank.