To find the surface area of a cylinder, we need to calculate the area of the two bases and the lateral surface area.
The area of the base can be calculated using the formula A = πr^2, where r is the radius. Since we are given the width (diameter) of 7 yards, the radius is half of that, which is 7/2 = 3.5 yards.
The area of one base is therefore:
A_base = 3.14 * (3.5)^2 = 3.14 * 12.25 = 38.465 square yards.
The total area of both bases is 2*A_base = 2 * 38.465 = 76.93 square yards.
The lateral surface area can be calculated using the formula A_lateral = 2πrh, where h is the height of the cylinder. In this case, the height is given as 8 yards.
A_lateral = 2 * 3.14 * 3.5 * 8 = 175.84 square yards.
Therefore, the total surface area of the cylinder is:
Total surface area = lateral surface area + total area of the bases
= 175.84 + 76.93
= 252.77 square yards.
So the surface area of the cylinder is approximately 252.77 square yards.
The correct response is 252.77.
Find the surface area of the cylinder. Use the approximation 3.14 for pi.
height-8yd. width-7yd.
responses:
329.7
577.76
252.77 yards
252.77
1 answer
1 answer