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 cylindrical and hemispherical parts is 7 cm.
Find the total surface area of the solid.
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Step-by-step explanation:
Hemispheres are attached to the ends of the cylinder.
Therefore, we will consider the curved surface area of the cylinder and curved surface area of hemisphere.
Total height of solid = 19 cm.
Diameter of cylinder and hemisphere = 7 cm
Radius of cylinder and hemisphere = 7/2 cm
Height of cylinder = 19 - 7/2 -7/2 = 12 cm
Total surface area of solid = CSA of cylinder + (2 x CSA of hemisphere)
= 2πrh + (2 x 2πr²)
= (2 x 22/7 x 7/2 x 12) + (2 x 2 x 22/7 x 7/2 x 7/2)
= (22 x 12) + (22 x 7)
= 22(12 + 7) = 22 x 19 = 418 cm²
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