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Verified Answer :

find volume

v=hpir^2
v=60pi15^2
v=60pi225
v=13500pi
v=42411.492=full

find wha fraction 32000 is
32000/42411.492=0.75451247
times that by height
60*0.75451247=45.2707487

about 45 feet

Answer:

A load of 32000 cubic feet fill the silo to height 45.252 feet.

Step-by-step explanation:

Height of silo = 60 feet

Radius of silo = 15 feet

Suppose silo in in the shape of cylinder

Volume of grain in silo =\(\pi r^2 h = \frac{22}{7} \times 15^2 \times h\)

Volume of grain in silo = \(32000 ft^3\)

\(\frac{22}{7} \times 15^2 \times h =32000\\h=\frac{32000 \times 7}{22 \times 15^2}\)

h=45.252 feet

Hence A load of 32000 cubic feet fill the silo to height 45.252 feet.