A cylindrical oil tank, whose diameter 7m and height 9m, is to be painted inside all over. Find the total cost of painting the tank at the rate of Rs. 20/- per m sq
Answers
Answer: 5500 rupees
Step-by-step explanation:
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Total cost of painting is ₹11000
Given data :
Diameter of the tank is 7 metres
Height of the tank is 9 metres
Painting cost is ₹20 per metre square.
• Radius of the tank = 7/2 metres
•At first we have to find the surface area.
• Now the thickness is not mentioned here,so we will assume that the inner outer surface area are equal.
• So,the total curved surface area will be = {2×(2×π×radius×height)}
= {2×(2×22/7×7/2×9)}
= 2×198
= 396 m²
So,the base and lid area will be also included in the total surface area
• The base and lid area
= {4×(π×radius²)} [×4 for the both side of base and lid]
= {4×(22/7×7/2×7/2)}
= (4×77/2)
= 154 m²
So,the total surface area
= (total curved surface area + base area and lid area)
= (396+154) m²
= 550 m²
Now,the total cost will be
= 1 m² cost = ₹20
550 m² cost = 550×20 = ₹ 11000 (answer)