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 = $\frac{24}{2}=12$ ft

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

= $\frac{4}{3}\times3.14\times12\times12\times12$

= 7234.56 cubic feet

Diameter of cylindrical tank = 4 ft

So, radius = $\frac{4}{2}=2$ ft

Height of cylindrical tank = 10 ft

Volume of cylindrical tank = PI * r² * h

= $3.14\times2\times2\times10=125.60$ cubic feet

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

$\frac{7234.56}{125.60}=57.6$

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