Volume Questions

The surface area of a sphere is 2464 cm
2
. Calculate its volume. (Use π=
7
22
​
)

Curved surface area of a cylinder is 440 sq cm. If circumference of its base is 44 cm, what is the volume of the cylinder? (Take π=22/7)

If a cylinder of radius 4.3 cm and height 4.8 cm is melted and constructed into a cone of the same radius, what will be the height of this cone? (Use π=22/7)

If a cone of radius $3.5\text{cm}$ and height $9.6\text{cm}$ is melted and constructed into a cylinder of the same radius, what will be the height of this cylinder? (Take $\pi =\frac{22}{7}$)

A cone of radius $7\text{cm}$ and height $12\text{cm}$ is completely filled with water. This water is emptied into an empty cylindrical vessel of radius $3.5\text{cm}$. What will be the height of water in this vessel?

Find the volume (in cm
3
) of a sphere of diameter 21 cm.

The volume of a cube is $166.375{\text{cm}}^3$. Find its side (in $\text{cm}$).

How many spherical balls each of $2\text{cm}$ radius can be made out of a solid metallic cube of edge $44\text{cm}$? (Take $\pi =\frac{22}{7}$)

The length of a wire (in m) of 0.5mm radius that can be drawn after melting a solid copper sphere of diameter 12cm is:

Melting a hemisphere of radius 7 cm, four small identical spheres are made. What is the radius of these spheres?

A cone of height $12\text{cm}$ and diameter $10\text{cm}$ is mounted on a hemisphere of the same diameter. What is the volume of the solid thus formed?

If a cylinder of radius 4cm and height 8cm is melted and constructed into a cone of the same radius, what will be the height of this cone?

A cone of radius 3.5cm and height 12cm is completely filled with water. This water is emptied into an empty cylindrical vessel of radius 7cm. What will be the height of water in this vessel?