A cylindrical tank has a height of 8 feet and a diameter of 2 3/4 feet.
Use pi= 3.14
What is the lateral surface area? 69.08 square feet
What is the lateral surface area ? 828.96 square inches
How do i find:
If a quart of paint covers 100 square feet, how many quarts of paint will be needed to paint the lateral surface area of the tank? quart(s) (Round to the nearest whole quart)
Are the ones above correct ?
Lateral surface area does not include the ends. I get an area of 47.5 ft^2
Don't use more than 3 significant figures since that is all you are using when you say pi = 3.14.
Since there is less than 100 ft^2 area, one quart of paint should be enough.
To find the lateral surface area of a cylindrical tank, you use the formula:
Lateral Surface Area = circumference x height
The circumference of a cylinder is found by multiplying the diameter by π (pi). In this case, the diameter is 2 3/4 feet, which is equal to 2.75 feet.
Circumference = diameter x π
Circumference = 2.75 feet x 3.14
Circumference ≈ 8.639 feet (rounded to three decimal places)
Then, you can calculate the lateral surface area using the obtained circumference and the given height of 8 feet:
Lateral Surface Area = circumference x height
Lateral Surface Area ≈ 8.639 feet x 8 feet
Lateral Surface Area ≈ 69.112 square feet (rounded to three decimal places)
Therefore, the correct answer for the lateral surface area is approximately 69.112 square feet, not 69.08 square feet.
To convert this to square inches, you can use the fact that 1 square foot is equal to 144 square inches:
Lateral Surface Area in square inches = Lateral Surface Area in square feet x 144
Lateral Surface Area in square inches ≈ 69.112 square feet x 144
Lateral Surface Area in square inches ≈ 9940.608 square inches ≈ 9940.61 square inches (rounded to two decimal places)
Thus, the correct answer for the lateral surface area is approximately 9940.61 square inches, not 828.96 square inches.
To calculate the number of quarts of paint needed to cover the lateral surface area, you need to know that 1 quart of paint covers 100 square feet. Divide the lateral surface area by 100 and round the result to the nearest whole number:
Number of quarts of paint = Lateral Surface Area / 100
Number of quarts of paint ≈ 69.112 square feet / 100
Number of quarts of paint ≈ 0.69112 quarts
Rounded to the nearest whole quart, you would need 1 quart of paint to cover the lateral surface area of the tank.
Therefore, the correct answers are approximately 69.112 square feet for the lateral surface area, 9940.61 square inches for the lateral surface area in square inches, and 1 quart for the amount of paint needed.