Answer :

According to the question,

Radius (*r*) of the cylindrical part = 7cm

And

Radius(r) of the hemispherical part = 7 cm

Height of hemispherical part = Radius = 7 cm

Height of cylindrical part (*h*) = 13 - 7

= 6 cm

Now,

Inner surface area of the vessel = CSA of cylindrical part + CSA of hemispherical part

= 2rh + 2 πr^{2}

Inner surface area of vessel = (2 × × 7 × 6) + (2 × × 7 × 7)

= (44 × 6) + ( 44 × 7)

= 44 (6 + 7)

= 44 × 13

= 572 cm^{2}

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