Question
A bucket is 12cm in diameter at the top,8cm in diameter at the bottom and 4cm deep.calculate the volume.
Answers
oobleck
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)
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)
R_scott
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