Question

An open cylindrical tank of radius 14cm and height 30 cm is to be painted on its exterior surfaces. Find the total surface area that needs to be painted. If the cost of painting a surface area 1m² is $7.50, how much will it cost to paint the tank? Give your answer correct to the nearest cent.​

Answer 1

Answer:

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Given:-

• A open cylindrical tank of radius 14cm.and height 30cm is to be painted on its exterior surfaces .And also given the cost of painting the surface area 1m^2 is £7.50.

To find :-

• Total surface area that needs to be painted.
• Cost to paint the tank.

Explanation :-

• Here we should convert the units
• Therefore,

• Radius in m=
• $\frac{14}{100}$=0.14m
• Height in m,
• $30 = \frac{30}{100} = 03m$

• Now finding total surface area of painted

So,

• we know that,

• $TSA \: {cylinder} = 2\pi \: r \: (r + h)$
• Now applying the values ,

• $Total surface area of cylinder = 2 \times \frac{22}{7 } \times 0.14(0.14 \times 0.3)$
• $Total surface area of cylinder = 2 \times 22 \times 0.02 \times 0.44$
• $Total surface area of cylinder = 3872 {cm}^{2}$

Hope it helps u mate .

Thank you .