a cylindrical vessel contains 49.896 litres of liquid cost of painting its CSA at 2 Paisa per CM square is rupees 95.04 then TSA is equal to
Answers
Answer:
GIVEN:
Volume of cylindrical vessel= 49.896 L
= 49.896× 1000 = 49896 cm³
[ 1 L = 1000 cm³]
Cost of painting at 2 paise per square cm= ₹ 95.04
Curved surface area of cylinder= cost / rate
Curved surface area of cylinder=95.04/.02
Curved surface area of cylinder= 4752 cm²
Let r and h be the radius and height of the cylinder .
Curved surface area of cylinder= 2πrh
2πrh = 4752……..(1)
Volume of Cylinder= πr²h
πr²h= 49896 ……….(2)
From equation 1 and 2
2πrh/πr²h = 4752/49896
2/r = 594/6237
r= 21 cm
Put this value of r in eq 1
2πrh = 4752
2 × (22/7)× 21× h= 4752
2×22×3×h = 4752
h= 4752/2×22×3
h= 36 cm
Total surface area of the cylindrical vessel= 2πr(h+r)
= 2×(22/7)×21(21+36)
= 2×22×3(57)
= 7524 cm²
Hence, the total surface area of the cylindrical vessel is 7524 cm²
Hope this will help you....
Step-by-step explanation: