the surface of cylindrical tank of base diameter 28cm and height 5400cm has to be painted .find the cost of painting the surface of tank at the rate of $20 per m2 .also find its capacity in liters
Answers
Given : cylindrical tank of base diameter 28 cm and height 5400 cm
To Find : the cost of painting the surface of the tank at the rate of $20 per m².
capacity in litres.
Solution:
Diameter = 28 cm
=> Radius = 28/2 = 14 cm
Height = 5400 cm
Surface area = 2πrh + 2πr²
= 2πr(h + r)
= 2(22/7)14 (5400 + 14)
= 88 (5414)
= 4,76,432 cm²
1 m² = 10000 cm²
= 47.6432 m²
cost of painting the surface of the tank at the rate of $20 per m². = 20 * 47.6432 = Rs 952.864
Volume = πr²h
= (22/7)(14)² * 5400
= 22 * 28 * 5400
= 3326400 cm³
1 m³ = ml
Capacity =3326400 ml
= 3326.4 litre
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