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Find the surface area of the outside of the block. taking out the drilled holes.

Find the surface area of the outside of the block. taking out the drilled holes.-example-1
User DerWOK
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1 Answer

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The surface area of the outside of the block is determined by the difference of cube and cylinder.

The surface area of cylinder is,


S_c=\text{ 2}\Pi rh+2\Pi(r^2)

The radius is 2 ft and height is 6 ft.


S_c=2\Pi(2*6+2^2)
S_c=\text{ 2}*3.14*(12+4)
S_c=100.48ft^{2^{}}

The surface area of cube is,


S_a=6s^2

The sidde of cube is 6 ft.


S_a=\text{ 6}*6^2
S_a=216ft^2

The surface area of the outside of the block is,


S=S_a-S_c
S=\text{ 216-100.48}
S=115.52ft^2

User Thanos
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