Question : A metallic solid sphere has a radius of 28 cm. If it is melted to form small spheres of radius 3.5 cm, then how many small spheres will be obtained?
Option 1: 512
Option 2: 624
Option 3: 496
Option 4: 424
New: SSC MTS Tier 1 Answer key 2024 out
Don't Miss: Month-wise Current Affairs | Upcoming Government Exams
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 512
Solution : The radius of a large sphere, $R$ = 28 cm The radius of a small sphere, $r$ = 3.5 cm Let $n$ be the number of small spheres. The volume of the large sphere = number of small spheres × volume of the small sphere So, $\frac{4}{3} \pi R^3 = n × \frac{4}{3} \pi r^3$ $⇒ n = \frac{R^3}{r^3} = \frac{28^3}{3.5^3}= 512$ Hence, the correct answer is 512.
Answer Key | Cutoff | Selection Process | Preparation Tips | Eligibility | Application | Exam Pattern
Question : A metallic solid sphere has a radius of 35 cm. If it is melted to form small spheres of radius 5 cm, then how many small spheres will be obtained?
Question : How many solid spheres of radius 3 cm can be formed by melting a bigger solid sphere of radius 24 cm?
Question : A solid metallic sphere of radius 9 cm is melted and recasted into a wire of radius 2 cm. What is the length of the wire?
Question : A sphere of radius 18 cm is melted and then a solid cylinder of base radius 4 cm is made from it. What is the height of the solid cylinder?
Question : A large solid cube is melted and cast into ' N ' small solid spheres, each of radius 3 cm, and ' N + 2 ' small solid cuboids, each of dimensions 4 cm × 4 cm × 6.5 cm. If the length of each side of the large solid cube is 12 cm, then find
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile