1. Consider the volumes of the following objects and arrange them in decreasing order:
i. A parallelepiped of length 5 cm, breadth 3 cm and height 4 cm
ii. A cube of each side 4 cm.
iii. A cylinder of radius 3 cm and length 3 cm
iv. A sphere of radius 3 cm
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By: anil on 05 May 2019 02.40 am
i. Volume of the parallelepiped of length 5 cm, breadth 3 cm and height 4 cm = 3*4*5 = 60 cm$$^3$$
ii. Volume of the cube of each side 4 cm = 4^3 = 64 cm$$^3$$
iii.Volume of the cylinder of radius 3 cm and length 3 cm = $$pi*3^2*3$$ = 84.82 cm$$^3$$
iv. Volume of the sphere of radius 3 cm = $$4/3*pi*3^3$$ = 113.09 cm$$^3$$ Therefore, we can say that volumes of the objects in decreasing order = iv,iii,ii,i. Hence, option A is the correct answer.
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ii. Volume of the cube of each side 4 cm = 4^3 = 64 cm$$^3$$
iii.Volume of the cylinder of radius 3 cm and length 3 cm = $$pi*3^2*3$$ = 84.82 cm$$^3$$
iv. Volume of the sphere of radius 3 cm = $$4/3*pi*3^3$$ = 113.09 cm$$^3$$ Therefore, we can say that volumes of the objects in decreasing order = iv,iii,ii,i. Hence, option A is the correct answer.