A petrol tank is a cylinder of base diameter 21cm and length 18cm fitted with conical ends each of axis length 9cm. Determine the capacity of the tank
Answers
Answered by
138
Volume of the cylindrical portion of the tank= TTr2h
=22/7 * (21/2)2 * 18cm3 = 174636/ 28 cm3
= 6237cm3
Volume of 2 conical ends
=2 (1/3 TTr2h) =2/3 TTr2h =2/3 * 22/7 * (21/2)2 * 9cm3
=174636 / 84 cm3 =2079cm3
Therefore, capacity of the tank= 6237cm3 + 2079cm3= 8316cm3
Thus, capacity of the tank= 8316cm3
=22/7 * (21/2)2 * 18cm3 = 174636/ 28 cm3
= 6237cm3
Volume of 2 conical ends
=2 (1/3 TTr2h) =2/3 TTr2h =2/3 * 22/7 * (21/2)2 * 9cm3
=174636 / 84 cm3 =2079cm3
Therefore, capacity of the tank= 6237cm3 + 2079cm3= 8316cm3
Thus, capacity of the tank= 8316cm3
Answered by
50
Volume of the cylindrical portion of the tank= πr²h
=22/7 * (21/7)² * 18cm³ = 174636/ 28 cm³
= 6237cm³
Volume of 2 conical ends
=2 (1/3πr²h) =2/3πr²h =2/3 * 22/7 * (21/2)2 * 9cm³
=174636 / 84 cm³ =2079cm³
Therefore, capacity of the tank= 6237cm³ + 2079cm³ = 8316cm³
Thus, capacity of the tank= 8316cm³
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