Nam and Brandon each have a cylindrical canister of Pringles. Nam’s cylinder has a diameter of 7 inches and a height of 13 inches. Brandon’s cylinder has a diameter of 5 inches and a height of 20 inches. Whose cylinder has a larger surface area?
Nam and Brandon each have a cylindrical canister of Pringles. Nam’s cylinder has a diameter of 7 inches and a height of 13 inches. Brandon’s cylinder has a diameter of 5 inches and a height of 20 inches. Whose cylinder has a larger surface area?
Nam
Brandon
To calculate the surface area of a cylinder, we use the formula:
Surface Area = 2πr^2 + 2πrh
Nam's cylinder:
Radius (r) = diameter/2 = 7/2 = 3.5 inches
Height (h) = 13 inches
Surface Area = 2π(3.5)^2 + 2π(3.5)(13)
Surface Area = 2π(12.25) + 2π(45.5)
Surface Area ≈ 76.96π square inches
Brandon's cylinder:
Radius (r) = diameter/2 = 5/2 = 2.5 inches
Height (h) = 20 inches
Surface Area = 2π(2.5)^2 + 2π(2.5)(20)
Surface Area = 2π(6.25) + 2π(50)
Surface Area ≈ 62.83π square inches
Since 76.96π > 62.83π, Nam's cylinder has a larger surface area.