Volume Questions

A hollow copper pipe is 22cm long and its external diameter is 28cm. If the thickness of the pipe is 3cm and iron weighs 8.5g/cm
3
, then the weight of the pipe is closest to:

A right triangle with sides 5cm,12cm and 13cm is rotated about the side 12cm to form a cone. The volume of the cone so formed is:

The number of balls of radius $2\text{cm}$ that can be made from a solid sphere of radius $4\text{cm}$ is:

How many cubes of length 50 cm can be accommodated in a container of 5 m in length, 2 m in width and 5 m in height?

The radius and height of a cylinder are in the ratio 7:13 and its volume is 6006 cm
3
. Its radius will be: (Use π=
7
22
​
)

The dimensions of a pond are 20m, 14m and 6m. Find the capacity of the pond.

A solid metallic sphere of radius 4 cm is melted and recast into 4 identical cubes. What is the side of the cube?

The volume of a solid sphere is 4851 m
3
. What is the surface area of the sphere? (Take π=
7
22
​
)

The radii of the two spheres are in the ratio 4:3. What is the ratio between their volumes?

The radius of a hemisphere is 9cm. Its volume will be:

The height of one cone is 3 times the height of another cone, while its radius is half of the radius of the other cone. If their total volume is 100unit
3
, then the difference in the volumes of the cones is _______ unit
3
.

A cube has a surface area of 5400square units. Its volume would increase approximately _______ if the side is increased by 5units.