Find the side of a cube if a cylinder of radius 66 cm and height 168 cm is melted and reformed into a cube. 

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  1. 132 cm
  2. 198 cm
  3. 66 cm
  4. 99 cm

Answer (Detailed Solution Below)

Option 1 : 132 cm
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Detailed Solution

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Given:

Radius = r = 66cm

Height = h =168cm

Formula used:

The volume of Cube = side x side x side

The volume of Cylinder = 22/7 x r x r x h

Solution:

Let the side of the cube be a.

Volume of Cylinder = 22/7 x 66 x 66 x 168 = 85184 cm3 

Volume of cube = Volume of Cylinder

a3 = 22 x 66 x 66 x 24 =

a = 6 × 11 × 2 = 132

Hence, the correct option is 1.

Latest DSSSB Nursery Teacher Updates

Last updated on Jul 9, 2025

-> The DSSSB Nursery Teacher Exam will be conducted from 10th to 14th August 2025.

-> The DSSSB Assistant Teacher (Nursery) Notification was released for 1455 vacancies.

-> Candidates who are 12th-passed and have Diploma/Certificate in Nursery Teacher Education or B. Ed.(Nursery) are eligible for this post.

-> The finally selected candidates for the post will receive a DSSSB Assistant Teacher Salary range between Rs. 35,400 to Rs. 1,12,400.

-> Candidates must refer to the DSSSB Assistant Teacher Previous Year Papers to boost their preparation.

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