# Volume of Sphere Solved Questions

In this post we will discuss the questions of volume of sphere. All the questions are fully solved step by step for your full understanding but in case if you have any doubt, feel free to contact us for your query.

Some formulas that we have covered in this post are:
1. Volume of sphere
2. Surface area of sphere

These two formulas are important for solving sphere related problems, so make sure you invest some time to remember it.

## Questions on Sphere

### (01) If three metallic sphere of radii 6 cm, 8 cm and 10 cm are melted to form a single sphere. Find the diameter of new sphere

Its given in the question,
r1 = 6 cm
r2 = 8 cm
r3 = 10 cm

Volume of New Sphere = Volume of sphere 1 + Volume of sphere 2 + volume of sphere 3

Hence after the simple calculation, we can easily found the volume of big sphere

### (02) The surface area of a sphere is same as the curved surface area of right circular cylinder, whose height and diameter is 12 cm each. What is the radius of sphere?

Hence the radius of the sphere is 6 cm

### (07) A hollow sphere of internal and external diameters 4 cm and 8 cm respectively is melted into a cone of base diameter 8 cm. What is the height of cone?

Hence the height of the cone is 14 cm

### (08) A cone of height 9 cm with diameter of its base 18 cm is carved out from a wooden solid sphere of radius 9 cm. Find the percentage of wood wastage

Hence 75% of the wood gets wasted

### (09)A cylindrical vessel of radius 4 cm contains water. A solid sphere of radius 3 cm is lowered into water until it is completely immersed. Find the rise of water level in the vessel

Given,\\\ \\ radius\quad of\quad cylinder\quad =\quad 1\quad cm\\ height\quad of\quad cylinder\quad =\quad 5\quad cm\\ therefore\quad radius\quad of\quad sphere\quad =\quad 1\quad cm\\\ \\ according\quad to\quad question,\quad we\quad have\quad to\quad find\quad volumr\quad of\quad sphere\quad having\quad radius\quad 1\quad cm\\ volume\quad of\quad sphere\quad =\frac { 4 }{ 3 } \pi { r }^{ 3 }\\\ \\ \qquad \qquad \qquad \qquad \qquad \quad =\quad \frac { 4 }{ 3 } \pi \quad \times \quad 1\quad \times \quad 1\quad \times \quad 1\\\ \\ \qquad \qquad \qquad \qquad \qquad \quad =\quad \frac { 4 }{ 3 } \pi \quad cm^{ 3 }\\