A block of 66 by 49 by 12 is melted to form a sphere, then radius of sphere is approx
When the block is melted, its volume doesn't change.
Volume of block = \(66 \times 49 \times 12 = 38808\)
\(\frac{4}{3}\pi r^3 = 38808 \Rightarrow r^3 = \frac{38808 \times 3 \times 7}{4 \times 22} = 9261\)
\(r = \sqrt[3]{9261} = 21\)
Answer: (C) 21
Reinforce your conceptual grasp with related questions from MAH MCA CET 2023:
Take timed full-length mock tests with authentic question distributions, negative marking (+12/-3 in Math), and instant All India Rank calculation.
Start Free Mock Test Series →