Question

A cylindrical vessel open at the top has a base diameter 56cm if the total cost of painting the outer curved surface of the vessel is 352 rupee at the rate rupee 0.2 per 100cm square then the height of the vessel is

Answer 1

Find the area of the curved surface:

Rs 0.20 = 100 cm²

Rs 1 = 100 ÷ 0.2 = 500 cm²

Rs 352 = 500 x 352 = 176000 cm²

Find the radius:

Radius = Diameter ÷ 2

Radius = 56 ÷ 2 = 28 cm

Find the height:

Curved surface area = 2πrh

Given that area = 176000 cm² and the radius = 28 cm

2π(28)h = 176000

56πh = 176000

h = 176000 ÷ 56π

h = 1000 cm or 10m

Answer: The height is 10 m

Answer 2

Thank you so much for asking this question, here is your answer:

Curved Surface: = 2πrh

352 = 2 x 227 x 28 x h

352 = 44 x 4 x h

352 = 156 x h

352/156 = h

when we solve the above equation we will get this:

86/39 x 0.2 / 10 x 100

44.10 is the final answer for this question.

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