A rectangular block measures 10 by 10 by 6. A cylindrical hole of radius 2 is drilled completely through the block, perpendicular to the front face (shown). What is the remaining volume of the block?
A449.2 cubic units
B504 cubic units
C562.3 cubic units
D524.6 cubic units
Explanation
Block volume = 10×10×6 = 600. The hole is a cylinder of radius 2 bored straight through the block, so its length equals the block's depth (6, the dimension perpendicular to the front face where the circular opening is shown): volume = π(2)²(6) ≈ 75.4. Remaining volume = 600 − 75.4 ≈ 524.6 cubic units.
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