the right circular cylinder is closed at both ends find the cost of polishing its total surface at ₹0.50 per sqare cm if the radius of the cylinder is 7 cm and death is 12 cm
Answers
Answer:
The cost of polishing the total surface area of cylinder is ₹ 418.
Step-by-step-explanation:
We have given the dimensions of a right circular cylinder.
Radius ( r ) = 7 cm
Height ( h ) = 12 cm
Rate of polishing the surface = ₹ 0.50 / cm²
We have to find the cost of polishing the total surface of the cylinder.
Now, we know that,
Total surface area of cylinder = 2 π r ( r + h )
⇒ Total surface area of cylinder = 2 * ( 22 / 7 ) * 7 ( 7 + 12 )
⇒ Total surface area of cylinder = 2 * 22 * 7 ÷ 7 * 19
⇒ Total surface area of cylinder = 2 * 22 * 1 * 19
⇒ Total surface area of cylinder = 2 * 22 * 19
⇒ Total surface area of cylinder = 44 * 19
⇒ Total surface area of cylinder = 836 cm²
∴ The total surface area of cylinder is 836 cm².
Now,
The cost of polishing total surface = Rate of polishing * Total surface area of cylinder
⇒ The cost of polishing total surface = 0.50 * 836
⇒ The cost of polishing total surface = 0.50 * 100 * 836
⇒ The cost of polishing total surface = 50 * 836
⇒ The cost of polishing total surface = 41800 ÷ 100
⇒ The cost of polishing total surface = ₹ 418
∴ The cost of polishing the total surface area of cylinder is ₹ 418.
The cost of polishing the total surface area of cylinder:
₹418
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