A solid is in the form of a cylinder with hemispherical ends. The total height of the solid is 19 cm, and the diameter of the cylinder is 7 cm. Find the volume and total surface area of the solid. (Use π = 22/7).


Given:


The radius of cylinder = radius of hemisphere =


Diagram is given below:



The height of cylinder =


= 19 - 7


= 12 cm


So,


Volume of the cylinder = πr2h


= π× (3.5)2×12


= 147π cm3


Volume of 2 hemispheres = 2×



= 57.16π cm3


The volume of the solid = Volume of the cylinder + Volume of a hemisphere


= 147π + 57.16π


= 204.16π




= 641.64 cm3


The surface area of the solid = CSA of cylinder + Surface area of 2 hemisphere


= 2πrh + 2×2πr2


= 2πr(h + 2r)





= 418 cm2


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