A cylindrical vessel, without lid, has to be tin coated including both

1.	A cylindrical vessel, without lid, has to be tin coated including both of its sides. If the radius of its base is 1/2m and its height is 1.4m, calculate the cost of tin-coating at the rate of Rs. 50 per 1000cm2.
Answer» Radius of the base (r) = 1/2m = 1/2 x 100cm = 50cm Height (h) = 1.4m = 1.4 × 100cm = 140cm. Surface area of to tin-coated = 2 ( 2πr + πr² ) = 2[2 × 3.14 × 50 × 140 + 3.14 × (50)²] = 2[43960 + 7850] = 2(51810) = 103620cm² ∴ Cost of tin-coating at the rate or Rs. 50 per 1000cm² =50/1000 × 103620 = Rs 5181.

A cylindrical vessel, without lid, has to be tin coated including both of its sides. If the radius of its base is 1/2m and its height is 1.4m, calculate the cost of tin-coating at the rate of Rs. 50 per 1000cm2.

Answer»

Radius of the base (r) = 1/2m

= 1/2 x 100cm = 50cm

Height (h) = 1.4m

= 1.4 × 100cm

= 140cm.

Surface area of to tin-coated = 2 ( 2πr + πr² )

= 2[2 × 3.14 × 50 × 140 + 3.14 × (50)²]

= 2[43960 + 7850] = 2(51810) = 103620cm²

∴ Cost of tin-coating at the rate or Rs. 50 per 1000cm²

=50/1000 × 103620 = Rs 5181.