Question

# A cylinder of base diameter 8cm and height 7cm is dipped vertically one third in a bucket full of paint. How much area gets painted?

Solution

## Here, you need to solve for the bottom 1/3 of the surface area of the cylinder.   This would include: the bottom of the cylinder Area = πr2 = (4cm)2π = (16cm2)π and 1/3 area of the side, which is a rectangular piece = 1/3 height x circumference = (1/3)(7cm)(8cm)π = (18.67cm2)π Add these together to get the bottom 1/3 of the cylinder SA = (16cm2)π + (18.67cm2)π SA = (34.67cm2)π SA = 108.91cm2

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