Question : A solid lead sphere of radius 11 cm is melted and recast into small solid spheres of radius 2 cm each. How many maximum numbers (in integers) of such spheres can be made?
Option 1: 125
Option 2: 166
Option 3: 30
Option 4: 100
Correct Answer: 166
Solution : According to the question Number of small spheres = $\frac{\text{Volume of solid sphere}}{\text{Volume of small sphere}}$ = $\frac{\frac{4}{3}\pi (11)^{3}}{\frac{4}{3}\pi (2)^{3}}$ = $\frac{1331}{8}$ = $166.375 \approx 166$ Hence, the correct answer is 166.
Result | Eligibility | Application | Selection Process | Cutoff | Admit Card | Preparation Tips
Question : A solid sphere made of wax of radius 12 cm is melted and cast into solid hemispheres of radius 4 cm each. Find the number of such solid hemispheres.
Question : A spherical lead ball of radius 10 cm is melted and small lead balls of radius 5 mm are made. The total number of possible small lead balls is (Take $\pi =\frac{22}{7}$)
Question : A frustum of a right circular cone, whose height is 18 cm, large base radius is 25 cm, and small base radius is 20 cm, is melted to form a small sphere of diameter 2 cm. How many spheres will be formed?
Question : A solid metallic sphere of radius 8.4 cm is melted and recast into a right circular cylinder of radius 12 cm. What is the height of the cylinder? (Your answer should be correct to one decimal place.)
Question : A solid metallic sphere of radius 6.3 cm is melted and recast into a right circular cone of height 25.2 cm. What is the ratio of the diameter of the base to the height of the cone?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile