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Tublu buys a cylindrical water tank of height 1.4m and diameter 1.1m to catch rainwater off his roof. He has a full 2 litres in his store and decides to paint the tank (not the base). If he uses 250ml to cover 1m², will he have enough paint to cover the tank with one layer of paint?

a. Yes
b. No

User Selaron
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1 Answer

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Final answer:

To determine if Tublu has enough paint to cover the cylindrical water tank, calculate the surface area of the tank and compare it to the amount of paint he has.

Step-by-step explanation:

To determine whether Tublu has enough paint to cover the cylindrical water tank, we need to calculate the surface area of the tank and compare it to the amount of paint he has. The surface area of a cylinder can be calculated using the formula: Surface Area = 2πrh + πr², where r is the radius and h is the height of the cylinder.

Given that the diameter of the tank is 1.1m, the radius (r) is half of the diameter, which is 0.55m. The height (h) is 1.4m. Substituting these values into the formula, we get:

Surface Area = 2π(0.55)(1.4) + π(0.55)²

Simplifying this equation, we find that the surface area is approximately 5.823m².

Tublu has 2 liters of paint, which is equivalent to 2000 milliliters. One layer of paint requires 250ml to cover 1m². Therefore, to cover 5.823m², Tublu would need:

250ml/m² x 5.823m² = 1455.75ml = 1.45575 liters

Since Tublu only has 2 liters of paint, which is more than enough to cover the tank, the answer is a. Yes.

User Lbrazier
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