If the radii of the circular ends of a conical bucket,which is 45cm high,are 28cm and 7cm.Find the capacity of the bucket?
2 answers
Can u plz answer this question fast!!!!
consider the top of a large cone which has been cut off to leave the frustrum. Draw a side view. Using similar triangles, we know that the top of the bucket is 3/4 as high as the uncut cone. So, the piece that was cut off has an altitude of 15 cm.
Subtract the small top of the cone from the whole cone to get the volume of the bucket:
π/3 * 28^2 * 60 - π/3 * 7^2 * 15 = 15435π cm^3
Subtract the small top of the cone from the whole cone to get the volume of the bucket:
π/3 * 28^2 * 60 - π/3 * 7^2 * 15 = 15435π cm^3