The diameter of the base of metallic cone is 2 cm and height is 10cm, 900 such cones are molten to form one right circular cylinder whose radius is 10 cm. Find total surface area of the right circular cylinder so formed
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Total surface area of the right circular cylinder = 17600/7 cm²
Radius of the cone = r = 2/2 = 1 cm
Height of the cone = 10 cm
Volume of the cone = 1/3 πr² h
Total Volume of 900 such cones =
900 × 1/3 πr² h
= 300 × 22/7 × 1 × 10
= 66000/7 cm³
The 900 cones are melted to form a right circular cylinder of radius(r) = 10 cm.
Height of the cylinder = h
Volume of cylinder = volume of 900 cones
=> 66000/7 = πr² × h
=> h = 3000/100 = 30 cm
Total surface area of the right circular cylinder = 2πrh + 2πr²
= 2 × 22/7 (10 × 30 + 100)
= 44/7 × 400
= 17600/7 cm²
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