A cylinder has a height of 15 inches and a diameter of 12 inches.
Use pi = 3.14
What is the Lateral Surface Area?
What is the volume ?
1697 cubic inches
how do i do lateral surface area
for lateral i got 565.4 is this correct
no
The lateral surface area does not include the circular ends.
Therefore, A(L) = (3.14)12(15)
The volume V = 3.14(6^2)15
To calculate the lateral surface area of a cylinder, you need to find the area of the curved surface that wraps around the cylinder excluding the top and bottom circular bases.
The formula for lateral surface area (LSA) of a cylinder is:
LSA = 2πr × h
In this formula:
- π represents the mathematical constant pi (approximately 3.14)
- r represents the radius of the cylinder, which is half of the diameter. So, in this case, the radius would be 12 inches ÷ 2 = 6 inches.
- h represents the height of the cylinder, which is given as 15 inches.
Now, let's substitute the values into the formula to find the LSA:
LSA = 2 × 3.14 × 6 inches × 15 inches
LSA = 565.2 square inches
Therefore, the lateral surface area of the cylinder is 565.2 square inches.
Now that you know the formula and how to calculate the LSA of a cylinder, you can apply it to any other cylinder with different dimensions by substituting the radius and height according to the given values.