How do I find the area of a cylinder if the quiestion says the base has a radiuse of 5 feet using pie 3.14 and the length is 12?
Hint:
Volume of a cylinder with base radius r and height h is
V=πr²h
Use this formula.
2 π r2 + 2 π r h
A = 2 * 3.14 * 5^2 + 2 * 3.14 * 5 * 12
Oops. The formula I gave was for the volume.
Thank you, Ms. Sue.
To find the area of a cylinder, you need to calculate the sum of the areas of its two bases and its lateral surface area.
Step 1: Calculate the area of the base
The formula for the area of a circle is A = πr^2, where A is the area and r is the radius. Since the question states that the radius is 5 feet and π is 3.14, you can substitute these values into the formula to find the area of the base.
A_base = π * (5 feet)^2
Step 2: Calculate the area of the lateral surface
The lateral surface area of a cylinder is given by the formula A_lateral = 2πrh, where r is the radius and h is the height (or length) of the cylinder. In this case, the length is given as 12 feet, so you can substitute the given values into the formula.
A_lateral = 2π * (5 feet) * (12 feet)
Step 3: Calculate the total area
To find the total area, you need to add the area of the two bases to the lateral surface area. This can be done with the formula:
A_total = A_base + A_lateral
Simply substitute the values calculated in Step 1 and Step 2 into the formula above:
A_total = A_base + A_lateral
By calculating each part of the formula, you can find the area of the given cylinder.