A cylindrical tank has a radius of 3 meters and a height of 5 meters. What is th

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Question: A cylindrical tank has a radius of 3 meters and a height of 5 meters. What is the surface area of the tank? (Use π = 3.14)

Options:

Correct Answer: 94.2 m²

Solution:

Surface Area = 2πr(h + r) = 2 * 3.14 * 3 * (5 + 3) = 94.2 m²

A cylindrical tank has a radius of 3 meters and a height of 5 meters. What is the surface area of the tank? (Use π = 3.14)

A cylindrical tank has a radius of 3 meters and a height of 5 meters. What is the surface area of the tank? (Use π = 3.14)

Step 1: Identify the formula for the surface area of a cylinder, which is Surface Area = 2πr(h + r).
Step 2: Plug in the values for the radius (r) and height (h). Here, r = 3 meters and h = 5 meters.
Step 3: Calculate (h + r). This means adding the height (5) and the radius (3): 5 + 3 = 8.
Step 4: Substitute the values into the formula: Surface Area = 2 * 3.14 * 3 * 8.
Step 5: Calculate 2 * 3.14 = 6.28.
Step 6: Multiply 6.28 by 3: 6.28 * 3 = 18.84.
Step 7: Finally, multiply 18.84 by 8: 18.84 * 8 = 150.72.
Step 8: The surface area of the tank is 150.72 m².

Surface Area of a Cylinder – The formula for the surface area of a cylinder is derived from the areas of the circular bases and the rectangular side (lateral surface area).