A machinist drilled a cone-shaped hole into a solid cube of metal as shown. If the cube has sides of length 7 centimeters, what is the volume of the metal after the hole is drilled? Use π ≈ 3.14 and round your answer to the nearest tenth.
+130478 A machinist drilled a cone-shaped hole into a solid cube of metal as shown. If the cube has sides of length 7 centimeters, what is the volume of the metal after the hole is drilled? Use π ≈ 3.14 and round your answer to the nearest tenth
I don't see any illustration, but I think I can imagine what you might have. I think the radius of the cone is just 3.5 cm and its height = 7
Then, the volume of the cone = (pi) * (3.5)^2 * (7) / 3
= (3.14) * (3.5)^2 * 7 / 3 ≈ 89.75 cm^3
The total volume of the cube = (7)^3 = 343 cm^3
Therefore, the volune of metal that remains after the hole is drilled is just (343 - 89.75)cm^3 ≈ 253.25cm^3
I hope I've guessed correctly for you as far as the illustration goes...the math is correct, however !! 
