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Home » Let \( x \) be the grams of pure salt to be added. - 500apps

Let \( x \) be the grams of pure salt to be added. - 500apps

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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📌 Since width cannot be negative, \( x = 3 \).

📌 A company produces cylindrical cans with a height of 12 cm and a radius of 5 cm. If the company wants to paint the entire outer surface of each can including the top and bottom, how much paint is needed if the paint covers 100 square centimeters per liter and the paint costs $15 per liter?

📌 Calculate the surface area of the cylinder: \( 2\pi r(h + r) \).

📌 Here, \( r = 5 \) cm and \( h = 12 \) cm.

📌 Surface area: \( 2 \times \pi \times 5 \times (12 + 5) = 2 \times \pi \times 5 \times 17 = 170\pi \) square cm.

📌 Approximate \( \pi \approx 3.14 \), so surface area \( \approx 170 \times 3.14 = 533.8 \) square cm.

📌 Paint needed: \( \frac{533.8}{100} = 5.338 \) liters.

📌 Cost of paint: \( 5.338 \times 15 = 80.07 \).

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