The circumference of the base of a circular tank is 11 m. If the height of the tank is 3m, find its curved surface area and total surface area
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The curved surface area of the tank is 33 m².
The total surface area of the tank is 52.25 m².
Given data :
Circumference of the base = 11 m
Height of the tank = 3 m
Let,the radius of the base = r m
So,
2πr = 11
2×22/7× r = 11
44/7×r = 11
r = 11×7/44
r = 7/4
Curved surface area = 2×π×7/4×3 = 2×22/7×7/4×3 = 33 m² (answer)
Base area = π×7/4×7/4 = 22/7×7/4 × 7/4 = 1078/ 112 = 9.625 m²
So, the total surface area = {33+(2×9.625)} = (33+19.25) = 52.25 m² (answer)
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