Question

A painted water tower is shown. What percent of the surface area of the water tower (not including the surface underneath the tower) is green? Round your answer to the nearest tenth of a percent.

Answer 1

43.6%

Explanation:

curved surface area (green) is found by circumference multiply by height

`\pi` x d x h =
`\pi` x (15 x 2) x 12 = 360
`\pi`

total surface area is

blue circle + total curved surface area (blue + green)

=
`\pi`
`r^(2)` + 15(2)(8)
`\pi` + 360
`\pi`

=
`15^(2)`
`\pi` + 240
`\pi` + 360
`\pi`

= 825
`\pi`

percentage = 360
`\pi`/825
`\pi` x 100%= 22/55 x 100% = 43.63