If a solid piece of iron in the form of a cuboid, of…

If a solid piece of iron in the form of a cuboid, of dimensions 49 cm × 33 cm × 24 cm, is moulded to form a solid sphere, then the radius of the sphere is ______. [Use π = 22/7]

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 21 cm

Given:

Dimensions of cuboid = 49 cm × 33 cm × 24 cm

Formula Used:

Volume of cuboid = l × b × h

Volume of sphere = ${4 \over 3} \pi r^3$

Explanation:

According to the given question,

l × b × h = ${4 \over 3} \pi r^3$

⇒ 49 × 33 × 24 = ${4 \over 3} \times {22 \over 7} \times r^3$

⇒ r³ = 343 × 27

⇒ r = 21

Hence the required answer is 21 cm.

SSC CHSL 2022 PYQ — Question 67