You can consider the volume of the whole cone, minus the part that has been chopped off to leave the bucket.
Or, you can use the handy formula V = πh/3 (R^2+rR+r^2)
v = 1/3 π*4(12^2 + 12*8 + 8^2)
A bucket is 12cm in diameter at the top,8cm in diameter at the bottom and 4cm deep.calculate the volume.
2 answers
the bucket is a partial cone
if the sides were extended downward
... the entire cone would be 12 cm deep ... 4 cm / [1 - (8 cm / 12 cm)]
the volume of the entire cone would be ... 1/3 * π * (6 cm)^2 * 12
the volume of the extension would be ... 1/3 * π * (4 cm)^2 * 8
the volume of the bucket is the difference ... entire minus extension
if the sides were extended downward
... the entire cone would be 12 cm deep ... 4 cm / [1 - (8 cm / 12 cm)]
the volume of the entire cone would be ... 1/3 * π * (6 cm)^2 * 12
the volume of the extension would be ... 1/3 * π * (4 cm)^2 * 8
the volume of the bucket is the difference ... entire minus extension
1 answer