A water tank is in the shape of a right circular cylinder. The diameter is 8 feet, and the height is 21.5 feet. Find the surface area of the water tank. Use 3.14 for π .
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To find the surface area of the water tank, we need to find the lateral surface area (excluding the top and bottom) and the area of the two circular bases.
1. Lateral Surface Area:
The lateral surface area of a cylinder can be calculated using the formula:
Lateral Surface Area = 2πrh
where r is the radius of the cylinder and h is the height.
Given that the diameter is 8 feet, the radius (r) is half of the diameter:
r = 8 ft / 2 = 4 ft
Plugging in the values:
Lateral Surface Area = 2 * 3.14 * 4 ft * 21.5 ft
Lateral Surface Area = 537.52 ft²
2. Circular Base Area:
The area of a circle is calculated using the formula:
Base Area = πr²
For the top and bottom bases of the cylinder:
Base Area = 2 * π * (4 ft)²
Base Area = 100.48 ft²
3. Total Surface Area:
Total Surface Area = Lateral Surface Area + 2(Base Area)
Total Surface Area = 537.52 ft² + 2(100.48 ft²)
Total Surface Area = 738.48 ft²
Therefore, the surface area of the water tank is 738.48 square feet.
I apologize for the mistake. Let's correct it:
1. Lateral Surface Area:
The lateral surface area of a cylinder can be calculated using the formula:
Lateral Surface Area = 2πrh
where r is the radius of the cylinder and h is the height.
Given that the diameter is 8 feet, the radius (r) is half of the diameter:
r = 8 ft / 2 = 4 ft
Plugging in the values:
Lateral Surface Area = 2 * 3.14 * 4 ft * 21.5 ft
Lateral Surface Area = 540.4 ft²
2. Circular Base Area:
The area of a circle is calculated using the formula:
Base Area = πr²
For the top and bottom bases of the cylinder:
Base Area = 2 * π * (4 ft)²
Base Area = 100.48 ft²
3. Total Surface Area:
Total Surface Area = Lateral Surface Area + 2(Base Area)
Total Surface Area = 540.4 ft² + 2(100.48 ft²)
Total Surface Area = 741.36 ft²
Therefore, the surface area of the water tank is 741.36 square feet.