# Volume of Spherical Shell

## Trending Questions

**Q.**

12 spheres of the same size are made from melting a solid cylinder of 16 cm diameter and 2 cm height. The diameter of each sphere is:

√3 cm

2 cm

3 cm

4 cm

**Q.**

A right circular cone is $5.4cm$ high and the radius of its base is $2cm$.

It is melted and recast into another right circular one with a radius of base as $1.5cm$. find the height of the new cone formed.

**Q.**

The outer and inner diameters of a spherical shell are $10cm$and $9cm$respectively. Find the volume of metal contained in it. (Take $\mathrm{\pi}=\frac{22}{7}$)

**Q.**

Question 2 (ii)

Find the surface area of a sphere of diameter:

(ii) 21 cm

[Assume π=227]

**Q.**

A vapor cone is a cloud of condensed water that forms when an aircraft breaks the sound of condensed water that forms when an aircraft breaks the sound barrier. How does doubling both the diameter and the highest affect the volume of the vapor cone ?

**Q.**Find the radius of sphere whose surface area is 154cm2.

**Q.**How many spherical balls can be made out of a solve cube of lead whose edge measure 44 cm and each ball being 4 cm in diameter.

**Q.**Write the formula to find volume of spherical shell.

**Q.**12.The product and difference of inner and outer radiusof a hemi-spherical shell are 12 cm2 and 1 cmrespectively. The sum of inner and outer surfaceareas of the shell i equal to

**Q.**In TSA of spherical shell, why is it not needed to add 4π(r)^2 + 4π(R)^2? Why only 4π(R)^2 is written?

**Q.**A hollow spherical shell has inner diameter 4 cm and outer diameter 8 cm. Determine the volume of the shell.

- 204.45 cm3
- 134.45 cm3
- 334.45 cm3
- 234.45 cm3

**Q.**A solid cylinder of glass, the inner radius is 9 cm and the outer radius is 12 cm. Find the approximate volume of the sphere.

- ≈1000 cm3
- ≈2000 cm3
- ≈3000 cm3
- ≈4000 cm3

**Q.**A spherical shell 5 m thick has an outer radius of 7 m. What is the volume of shell?

- 1302.53 m
- 1202.53 m
- 1102.53 m
- 1402.53 m

**Q.**The radii of two solid metallic spheres are r1 and r2. The spheres are melted together and recast into a solid cone of height (r1+r2). Show that the radius of the cone is 2√r21+r22−r1r2.

**Q.**A spherical shell has a outer radius 14 m and inner radius 7 m. What's the volume of the sphere?

- ≈9000 m3
- ≈8000 m3
- ≈10000 m3
- ≈7000 m3

**Q.**What is the volume of material that is needed to form a spherical shell whose outer radius is 5 ft and whose inner radius is 3 ft?

- 610.293 ft3
- 510.293 ft3
- 450.293 ft3
- 410.293 ft3

**Q.**A hemispherical bowl of internal diameter 36 cm is filled with some liquid. This liquid is to be filled into Cylinder shaped bottles each of radius 3 cm and height 6 cm. Find the number of bottles required to empty the bowl.

**Q.**Calculate the volume of the shell. A hollow spherical shell has inner radius 0.3 cm and outer radius 0.5 cm.

- 0.310 cm3
- 0.410 cm3
- 0.110 cm3
- 0.210 cm3

**Q.**Find the volume of material that is needed to form a spherical shell whose outer radius is 3.0 inches and whose inner radius is 0.1 inches.

- 103.035 in3
- 93.035 in3
- 123.035 in3
- 113.035 in3

**Q.**A juice seller was serving his customers using glass. The inner diameter of the cylindrical glass was 5cm, but the bottom of the glass had a hemispherical raised portion which reduced the capacity of the glass. If the height of the glass was 10cm, find what the apparent capacity of the glass was and what the actual capacity was (Use π=3.14)

**Q.**The diameters of internal and external surfaces of a hollow spherical shell are 10 cm and 6 cm respectively. If it is melted and recast into a solid cylinder of length of 223cm, find the diameter of the cylinder.

**Q.**A hemispherical tank is made up of an iron sheet 1 cm thick. If the inner radius is 1 m, then find the volume of the iron used to make the tank.

**Q.**The inner diameter of the spherical shell is 12 mm and outer diameter is 24 mm. Find the volume of the shell.

- 6330 mm3
- 5330 mm3
- 4330 mm3
- 3330 mm3

**Q.**ntThree concentric spherical shells have radii a, b, c respectively (a

**Q.**The volume of a spherical shell whose internal and external diameters are 8cm and 10cm respectively (in cubic cm) is:

- 244π3
- 122π3
- 212
- 257

**Q.**Determine the volume of a spherical shell which has an inner radius of 6 cm and an outer radius of 24 cm.

- 44972 cm3
- 56972 cm3
- 66972 cm3
- 56000 cm3

**Q.**

A hemispherical bowl of internal radius $9\mathrm{cm}$ is full of liquid. The liquid is to be filled into cylindrical shaped small bottles each of diameter $3\mathrm{cm}$ and height $4\mathrm{cm}$. How many bottles are needed to empty the bowl?

**Q.**A hollow spherical shell is made of metal of density 4.8 g/cm3. If its internal and external radii are 10 cm and 12 cm respectively, find the weight of the shell

- 15.24 kg
- 14.64 kg
- 12.84 kg
- None of these

**Q.**Two cones have their heights in the ratio 1:3 and radii in the ratio 3:1. What is the ratio of their volumes?

**Q.**If the radius of a hemisphere is 3r, find its curved surface area.