A cylinder of radius 5 mm and height 11 mm (volume of a cylinder is pie-r2h) A sphere of radius 6mm (volume of a sphere is 4/3 pie r3) A cube with edge 9mm (volume of a cube is e3) Which of the following solids has the largest volume? (figures are not drawn to scale) Pickone of the choices
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Solid volume of sphere by formula is near 905, which is high in all. Answer is sphere
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Solution :-
Cylinder -
Volume of Cylinder = πr²h
⇒ (22*5*5*11)/7
⇒ 6050/7
⇒ 864.28 mm³
_____________________________________________________________
Sphere -
Volume of Sphere = 4/3*πr³
⇒ (4*22*6*6*6)/(3*7)
⇒ 19008/21
⇒ 905.14 mm³
_____________________________________________________________
Cube -
Volume of Cube = Edge*Edge*Edge
⇒ 9*9*9
⇒ 729 mm³
Hence, the sphere has the maximum volume among the all three.
Cylinder -
Volume of Cylinder = πr²h
⇒ (22*5*5*11)/7
⇒ 6050/7
⇒ 864.28 mm³
_____________________________________________________________
Sphere -
Volume of Sphere = 4/3*πr³
⇒ (4*22*6*6*6)/(3*7)
⇒ 19008/21
⇒ 905.14 mm³
_____________________________________________________________
Cube -
Volume of Cube = Edge*Edge*Edge
⇒ 9*9*9
⇒ 729 mm³
Hence, the sphere has the maximum volume among the all three.
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