Question

A cylinder has 7 yd. On the inside of the circle and eight yd on the outside find the surface area of the cylinder use the approximation 3.14 for pi

Answer 1

To find the surface area of a cylinder, we need to calculate the areas of the two circular bases and the lateral surface area.

The radius of the inner circle of the cylinder is 7 yards, so the radius of the outer circle (which is also the height of the cylinder) is 8 yards.

The area of the circular base is given by the formula: A = π * r^2, where r is the radius.

For the inner circle:
A1 = 3.14 * (7)^2
A1 = 3.14 * 49
A1 ≈ 153.86 square yards.

For the outer circle:
A2 = 3.14 * (8)^2
A2 = 3.14 * 64
A2 ≈ 200.96 square yards.

The lateral surface area of a cylinder is given by the formula: A = 2πrh, where r is the radius and h is the height.

L = 2 * 3.14 * 7 * 8
L ≈ 351.68 square yards.

Now, we can calculate the total surface area by summing the areas of the two circular bases and the lateral surface area:
Total Surface Area = A1 + A2 + L
Total Surface Area ≈ 153.86 + 200.96 + 351.68
Total Surface Area ≈ 706.50 square yards.

Therefore, the surface area of the cylinder is approximately 706.50 square yards.