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Reptile [31]
3 years ago
5

a spherical storage tank has a diameter of 24 ft and is full of water. how many delivery trucks with a cylindrical tanks measuri

ng 4 ft in diameter and 10 ft long can be completely filled from the storage tank?
Mathematics
1 answer:
lbvjy [14]3 years ago
4 0

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.


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