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Question

A slab of ice 8 inches in length, 11 inches in breadth, and 2 inches thick was melted and resolidified in the form of a rod of 8 inches diameter. What is the length of such a rod in inches?

A
3.5 inches
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B
4.5 inches
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C
5 inches
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D
4 inches
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Solution

The correct option is B 3.5 inches
The slab of ice is in the shape of a cuboid.
Volume of a cuboid =l×b×h
Volume of the ice =8×11×2=176 inches3
The rod is in the shape of a cylinder.
Volume of a Cylinder =πR2h
Radius of the rod =Diameter2=4 inches
=> Volume of the rod of ice =π×42×h=16πh
Volume of cuboidal ice will be equal to the volume of rod of ice
=>176=16πh
=>h=176×716×22=3.5 inches.

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