To determine which cylinder could represent the given pipe, we first need to calculate the surface area of each cylinder using the formula for the surface area of a cylinder: 2πrh + 2πr^2.
a) Surface area = 2(3.14)(16 in)(13 ft) + 2(3.14)(16 in)^2 = 1601.28 ft^2
b) Surface area = 2(3.14)(9 in)(19 ft) + 2(3.14)(9 in)^2 = 1527.36 ft^2
c) Surface area = 2(3.14)(18 in)(22 ft) + 2(3.14)(18 in)^2 = 2173.04 ft^2
d) Surface area = 2(3.14)(36 in)(14 ft) + 2(3.14)(36 in)^2 = 2213.76 ft^2
Looking at the calculated surface areas, the cylinder that best represents the given pipe with a surface area of 221.37 ft^2 is option d) a pipe with a radius of 36 inches and a height of 14 feet.
A plumber has a metal pipe with a surface area of 221.37 ft.2. Which cylinder could represent this pipe? Use 3.14 to represent π.(1 point)
Responses
a pipe with a radius of 16 inches and a height of 13 feet
a pipe with a radius of 16 inches and a height of 13 feet
a pipe with a radius of 9 inches and a height of 19 feet
a pipe with a radius of 9 inches and a height of 19 feet
a pipe with a radius of 18 inches and a height of 22 feet
a pipe with a radius of 18 inches and a height of 22 feet
a pipe with a radius of 36 inches and a height of 14 feet
1 answer