Question

A hemispherical dome is on a circular room .Its total internal volume is 48510m3 and inner diameter is equal to maximum height . find the height of the room.​

Answer 1

answer is 36cm

explaination : 48510=¶rsquare h +2\3 ¶ r cube

48510=(22\7×hsquare\4)+(2\3×22\7×h cube\8)

48510=hcube (11\14+11\42)

48510=(44\42)h cube

48510= h cube = 46305

48510= h cube = 3√46405=36cm

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