(i) Show that the volume of the biggest possible cylindrical pillar that can be made from the rectangular block is 15400 cm3.
(ii) Find the volume of the remaining block of wood.
Please provide clear and detailed steps! thanks :)
2007-12-29 22:08:58 · 4 answers · asked by Clueless(: 1 in Science & Mathematics ➔ Mathematics
Part (i)
V1 = π x 7 ² x 100 cm ³
V1 = 4900 π cm ³
V1 = 15,400 cm ³
Part (ii)
V2 = 14² x 100 cm ³
V2 = 19,600 cm ³
Remainder = 4,200 cm ³
2007-12-30 00:22:42 · answer #1 · answered by Como 7 · 1⤊ 0⤋
volume of largest cylinder made from 1m x 14cm x 14cm block = 22/7*7^2*100 cm^3 = 15400 cm^3
remaining block = (14*14*100 -- 15400)cm^3 = 4200 cm^3
2007-12-30 06:17:40 · answer #2 · answered by sv 7 · 0⤊ 0⤋
a cylindrical piller with volume 15400 cannot be made from a rectangular block of legth 1M and side 14cm.the maximum possible volume will be 15393.8. the rectangular block volume will be 19600.so the remaining material volume will be 4206.2.
hope am right..
thanks..zaman
2007-12-30 07:06:05 · answer #3 · answered by zaam 1 · 0⤊ 0⤋
volume of cylinder =pir^2h=pi49*100=15386cm^3
round off becomes 15400cm^3
volumeof th block 14^2*100=19600cm^3
remaining block volume =4200cm^3
2007-12-30 06:15:40 · answer #4 · answered by someone else 7 · 0⤊ 0⤋