To find the surface area of a cylinder, we use the formula:
Surface Area = 2πr(r + h)
Let's calculate the surface area for each of the three cylinders:
For Cylinder A:
r = 15 inches
h = 22 inches
Surface Area = 2 * 3.14 * 15(15 + 22) = 2 * 3.14 * 15 * 37 = 3.14 * 15 * 37 = 1722.3 square inches
For Cylinder B:
r = 14 inches
h = 23 inches
Surface Area = 2 * 3.14 * 14(14 + 23) = 2 * 3.14 * 14 * 37 = 3.14 * 14 * 37 = 1639.04 square inches
For Cylinder C:
r = 12 inches (since the diameter is double the radius)
h = 21 inches
Surface Area = 2 * 3.14 * 12(12 + 21) = 2 * 3.14 * 12 * 33 = 3.14 * 12 * 33 = 1230.24 square inches
Therefore, Cylinder A has the greatest surface area at 1722.3 square inches. Justine may want to consider buying Cylinder A for this reason.
Justine needs to buy a cylinder, and she has three choices as shown.
Cylinder A has a radius of 15 inches and a height of 22 inches.
Cylinder B has a radius of 14 inches and a height of 23 inches.
Cylinder C has a diameter of 24 inches and a height of 21 inches.
Which cylinder has the greatest surface area, which would justify Justine buying it? Use 3.14 for π .
1 answer