A solid is in the form of a right circular cylinder with hemispherical ends The total length of the ...........

Quantitative Aptitude ( CCS) Mensuration 3D

A solid is in the form of a right circular cylinder with hemispherical ends. The total length of the solid is 35 cm. The diameter of the cylinder is 1/4 of its height. The surface area of the solid is (take pie = 22/7)

468 sq. cm

620 sq. cm

500 sq. cm

418 sq. cm

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Explanation:

Diameter of the cylinder = 7 cm
Therefore, Radius of the cylinder
Total height of the solid = 19 cm
Therefore, Height of the cylindrical portion= 19 - 7 = 12 cm
Volume of the solid = Volume of the cylindrical portion + Volume of the two hemispherical ends
= Total surface area of the solid = Curved surface area of the cylinder + Curved surface area of two hemispherical ends
= 22 19 = 418 cm²

Hence, option 4 is the correct answer.