CAT 1993QA Question 30

Basics of Mensuration/PrismEasy

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

Answer & solution

Correct answer: 3.5

  • A

    3

  • 3.5

  • C

    4

  • D

    4.5

Solution

Let l be the length of the rod, then

Volume of slab = Volume of rod

⇒ 8 × 11 × 2 = π × (82)2 × l

⇒ l = 11/π = 3.5 inches.

Hence, option (b).

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CAT 1993 QA Q30: A slab of ice 8 inches in length, 11 inches in breadth, and 2 inches thick was melted and resolidified into th — Solution | TheCATExam