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?
What is the lateral surface area ?
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)
i Got 69.08 square feet
828.96 square inches
and i don't know how to figure the last one
your area of 69.08 square feet is correct.
but 69.08 is not 828.96 square inches
you have to multiply by 144 to change square feet to square inches.
Why are you changing to square inches anyway? Where does that come in ?
If one quart covers 100 square feet , and you have 69 square feet to paint, wouldn't you just need 1 quart???
To find the lateral surface area of a cylindrical tank, we need to calculate the area of the curved surface that wraps around the tank.
First, let's find the radius of the tank. The diameter is given as 2 3/4 feet. We can convert it to a mixed number: 2 + 3/4 = 2 + 0.75 = 2.75 feet.
The radius is half of the diameter, so we divide it by 2: 2.75 / 2 = 1.375 feet.
Next, we can calculate the lateral surface area using the formula: Lateral Surface Area = 2 * pi * radius * height.
From the given values, the height of the tank is 8 feet and pi is 3.14.
Lateral Surface Area = 2 * 3.14 * 1.375 * 8
Now, let's perform the calculation:
Lateral Surface Area = 2 * 3.14 * 1.375 * 8 = 87.92 square feet.
Therefore, the lateral surface area of the cylindrical tank is 87.92 square feet.
To find the number of quarts of paint needed, we divide the lateral surface area by the coverage of 1 quart, which is 100 square feet.
Number of quarts of paint needed = Lateral Surface Area / Coverage per quart
Number of quarts of paint needed = 87.92 / 100
Now, let's calculate this:
Number of quarts of paint needed = 0.8792 quarts.
Rounded to the nearest whole quart, we get 1 quart.
Therefore, you will need 1 quart of paint to paint the lateral surface area of the tank.