Question

three right circular cylinder of same height and radius 6cm 8cm and 10cm respectively article the first two smaller cylinders are filled with sand when sand is poured into smaller cylinders gas cylinder will it be completely filled with sand explain your answer and show the Pythagoras theorem can be extended for right circular cylinder

Answer 1

Combined Volume Small cylinders = Large Cylinder

Step-by-step explanation:

as we are filling the sands , we need to find Volume of cyclinder

Volume of Cylinder =  πR²h

Volume of Smallest Cylinder = π6²h  = 36πh

Volume of Next Small Cylinder = π8²h  = 64πh

Combined Volume of small Cylinders =  36πh + 64πh = 100πh

Volume of Largest Cylinder = π10²h  = 100πh

As Combined Volume Small cylinders = Large Cylinder

Hence They will be filled at same time

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