Question
A kid has toys of three different shapes and he has
labelled them as 'A', 'B' and 'C'. The following is also known about the toys: (Take π = 22/7) I: Toy 'A' is a cube having 9 cm long edges. II: Toy 'B' is a cylinder with radius 7 cm and height 5 cm. III: Toy 'C' is a cuboid of dimensions 15 cm, 8 cm and 6 cm. Which of the following options best represents the relationship of the volume of the three toys?Solution
Volume of cube = a3 {Where 'a' is the length of each edge} So, volume of toy 'A' = 93 = 729 cm3 Volume of cylinder = πr2h {Where 'r' is radius and 'h' is height} So, volume of toy 'B' = (22/7) X 72 X 5 = 770 cm3 And volume of cuboid = Length X Breadth X Height So, volume of toy 'C' = 15 X 8 X 6 = 720 cm3 So, volume of toy B > volume of toy 'A' > Volume of toy 'C'
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