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Evan is painting a stool that has a cylindrical seat and four rectangular prism legs. The seat has a diameter of 8 inches and a height of 2 inches. Each leg is 2 inches by 2 inches by ten inches. How much area will Evan have to paint? Use three point one four for pi. Show your work.

  • Math -

    Area of seat to be painted
    = Surface area of cylinder - 4 squares covered by end of legs
    = 2π(4^2) + 2π(4)(2) - 4(2^2) = 48π - 16

    surface area of legs (assuming he will paint the bottom of the legs):
    each leg has 4 surfaces of 2(10) or 20 inches^2
    = 4(4)(20) + 4(2)(2)
    = 336

    total area = 48π-16+336
    = 470.72

    check my arithmetic

  • Math -

    You should allow them to do their own test! You should not do it for them!

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