Volume of a sphere

Q.

If the ratio of volume to total surface area of a solid sphere is 8 : 1, then radius of the sphere is ___.

1. $8$ units

2. $2\sqrt{2}$ units

3. $24$ units

4. $64$ units

Q.

Among a cylinder (of radius r and height h=r), a cone (of radius r and height h=r) and a sphere of radius r the __ will have the maximum volume.

Q.

The volume of hemisphere with total surface area 115.62 cm² is approximately (Take π= 22/7)

1. 25 cm³

2. 60 cm³

3. 90 cm³

4. 40 cm³

Q.

16 hemispheres of radius 2 cm are melted to make a single sphere. Find radius of the sphere.

1. 4 cm
2. 16 cm
3. 32 cm
4. 8 cm

Q. If the radius of a sphere is doubled, how many times does its volume become?

1. 2 times
2. 4 times
3. 6 times
4. 8 times

Q. If the volume of a sphere is $38808{cm}^3$ then its radius is = ___ cm.

Q.

An iron spherical ball of radius 21cm is melted and it is re-casted in hemispheres of radius 7cm. The number of balls formed will be

___

Q. If the volume of a sphere is $38808{cm}^3$ then its radius is = ___ cm.

Q.

The volumes of two hemispheres are in the ratio of 8:27. Find the ratio of their radii.

1. 2:3
2. 3:2
3. 1:3
4. 4:3

Q.

What remains constant when we melt a solid sphere?

1. Total surface area
2. Volume
3. Curved surface area
4. Both total surface area and volume