A conical hole is drilled in a circular cylinder of height 12 cm and base radius 5 cm. The height and the base radius of the cone are also the same. Find the whole surface and volume of the remaining cylinder.

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Solution

Given that:

We have the following diagram

Slant height of cone is given by

The total surface area of the remaining part is given by

The volume of the remaining part is given by

Hence,

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A conical hole is drilled in a circular cylinder of height 12 cm and base radius 5 cm. The height and the base radius of the cone are also the same. Find the whole surface and volume of the remaining cylinder.

Given that: We have the following diagram Slant height of cone is given by The total surface area of the remaining part is given by The volume of the remaining part is given by Hence,

Given that:

We have the following diagram

Slant height of cone is given by

The total surface area of the remaining part is given by

The volume of the remaining part is given by

Hence,