A cone of the largest possible size is carved out of a solid cylinder of radius 7 cm and height 9 cm, the cone keeping the same base and the same height. Find the volume of the material removed, in cm³. Take π = 22/7.

Question

Accepted Answer

924. Cylinder volume = (22/7) × 49 × 9 = 1386 cm³. The inscribed cone has one-third of that, 462 cm³. Material removed = 1386 − 462 = 924 cm³ (two-thirds of the cylinder).

A cone of the largest possible size is carved out of a solid cylinder of radius 7 cm and height 9 cm, the cone keeping the same base and the same height. Find the volume of the material removed, in $cm^{3}$ . Take π = 22/7.

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A cone of the largest possible size is carved out of a solid cylinder of radius 7 cm and height 9 cm, the cone keeping the same base and the same height. Find the volume of the material removed, in cm3. Take π = 22/7.

Step-by-Step Solution

Master this topic in 30 minutes a day.

More Areas & Volumes practice

A cone of the largest possible size is carved out of a solid cylinder of radius 7 cm and height 9 cm, the cone keeping the same base and the same height. Find the volume of the material removed, in $cm^{3}$ . Take π = 22/7.