The height of a conical tank is 60cm and the diameter of its base is 64 cm, the cost of painting it from outside at the rate of 35 rupees per square meter is
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Given:
Height of a conical tank= 60 cm
Diameter of a conical tank= 64 cm
Radius of a conical tank radius of a conical tank= 64/2= 32 cm
Slant height(l) of a conical tank= √r²+h²
l = √ 32² + 60²= √ 1024+3600
= √4624= √17×17×2×2×2×2
= 17×2×2= 68
l= 68 cm
Curved Surface area of a cone= πrl
= (22/7) × 32× 68= 6838.85 cm²
= 6838.85 cm² = 6838.85/10000
= 0.683885 m²
Rate of painting = ₹35 per m²
Cost of painting it from outside = curved surface area of a cone× rate
= 0.683885 × 35 = 23.935975= ₹ 23.94(approx)
Hence, the Cost of painting it from outside = ₹ 23.94(approx)
==================================================================
Hope this will help you....
Height of a conical tank= 60 cm
Diameter of a conical tank= 64 cm
Radius of a conical tank radius of a conical tank= 64/2= 32 cm
Slant height(l) of a conical tank= √r²+h²
l = √ 32² + 60²= √ 1024+3600
= √4624= √17×17×2×2×2×2
= 17×2×2= 68
l= 68 cm
Curved Surface area of a cone= πrl
= (22/7) × 32× 68= 6838.85 cm²
= 6838.85 cm² = 6838.85/10000
= 0.683885 m²
Rate of painting = ₹35 per m²
Cost of painting it from outside = curved surface area of a cone× rate
= 0.683885 × 35 = 23.935975= ₹ 23.94(approx)
Hence, the Cost of painting it from outside = ₹ 23.94(approx)
==================================================================
Hope this will help you....
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