Question

9. Acylindrical vessel, without lid, has to be tin-coated on its both sides. If the radius of the
base is 70 cm and its height is 1.4 m, calculate the cost of tin-coating at the rate of
Rs 3.50 per 1000 cm.​

Answer 1

✤✤✤✤✤✤✤✤✤Given✤✤✤✤✤✤✤✤✤

➷the cylindrical vessel is without lid➷

Radius of cylindrical vessel, r = 70 cm

height of vessel, h = 1.4 m = 1.4 × 100 cm = 140 cm

Given rate of tin coating = ₹ 3.50 / cm square.

✤✤✤✤✤✤✤✤To find ✤✤✤✤✤✤✤✤✤

Cost for tin coating the vessel = ?

✤✤✤✤✤✤Formula to be used ✤✤✿✿✿✿✤

$surface \: area \: of \: cylindrical \: vessel \: \\ without \: lid \: = 2\pi \: rh \: + \pi {r}^{2}$

✤✤✤✤✤✤✤Solution✤✤✤✤✤✤✤✤✤

$surface \: area \: of \: \\ cylindrical \: vessel \: = 2\pi \: rh \: + \pi {r}^{2} \\ \\ (putting \: values \: ) \\ surface \: area \: = 2 \times \frac{22}{7} \times 70 \times 140 \: \: + \frac{22}{7} \times {(70)}^{2} \\ \\ surface \: area \: = 77000 \: {cm}^{2}$

rate of tin

coating given = ₹ 3.50/ 1000cm^2

Cost of tin coating = 3.50 × 77

Cost of tin coating = ₹ 269.5

SO THE COST FOR TIN COATING THE VESSEL WILL BE 269.5 Rs

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