A vessel is a hollow cylinder fitted with a hemispherical bottom of the same base. The depth of the cylinder is and the diameter of hemisphere is 3.5 m. Calculate the volume and the internal surface area of the solid.

Radius of the hemispherical part of the hollow cylinder =


Hollow cylinder and the hemisphere have the same base


∴ Radius of the cylinder =


Depth of the cylinder, h =


Volume of the vessel = Volume of cylindrical part + Volume of the hemispherical part





≈ 56.15 m3


Internal surface area of the vessel = CSA of (cylinder + hemisphere)


= 2πrh + 2π r2


= 2π r(h+r)



= 70.58 m2


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