Question

find the volume and surface area of a cylinder with conical caps both sides

Answer 1

See the image attached

That's a good example that satisfies this question

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Radius of cone = 12/2 = 6cm

 

There are two cones

Total Volume = volume of two cones + volume of cylinder

Total volume = 2x 1/3 x 3.14 x 6^2 x 8 + 3.14 x 6^2 x 10

 

                     = 602.88 + 1130.40

 

                   = 1733.28 cm^3

 

Slant height, L, of cone = square root (6^2 + 8^2)

 

                                      = square root (100)

                                      = 10 cm

 

Total Surface area = 2 x surface area of curved surface of cone + surface area of curved surface of cylinder

 

Total surface area = 2 x 3.14 x 6 x 10 + 3.14 x 12 x 10

                              = 753.6 cm^2