Volumes

A boat having a length $3\mathrm{m}$ and breadth $2\mathrm{m}$ is floating on a lake. The boat sinks by $1\mathrm{cm}$ when a man gets on it. The mass of the man is_____.

If the volume and the surface area of a sphere are numerically equal, them the numerical value of then radius of the sphere is _____.

The volume of rectangular box whose length, breadth and height is $2p, 4q, 8r$, respectively is:

A cone, a hemisphere and a cylinder stand on same base and have same height. The ratio of their volumes is _______.

Base of a right angle pyramid is a square, length of diagonal of the base is 24√2 m. If the volume of the pyramid is 2880 cu.m, its height is-

The material of cone is converted in to the shape of a cylinder of equal radius. If height of the cylinder is $9 \mathrm{cm}$, the height of the cone is _____

Base of right prism is$6 {\mathrm{cm}}^2$. and its height is$7 \mathrm{cm}$ then volume_____.

$1$$m^3$ is ______________ ?

A $4 \mathrm{cm}$ cube is cut into $1 \mathrm{cm}$ cubes. What is the percentage increase in the surface area after such cutting?

A field is $125 \mathrm{m}$ long and $15 \mathrm{m}$ wide. A tank $10 \mathrm{m}\times 7.5 \mathrm{m}\times 6\mathrm{m}$ was dug in it and the earth. Thus dug out was spread equally on the remaining field. The level of the field thus raised is equal to which one of the following?

The height of a right prism with a square base is $15 \mathrm{cm}$. If the area of the total surfaces of the prism is $608 \mathrm{sq}. \mathrm{cm}.$, its volume is:

The volume of a height circular cone is $1232 {\mathrm{cm}}^3$ and its vertical height is $24 \mathrm{cm}$. Its curved surface area is -

The base of a pyramid is in the form of a square whose side is 16 cm. If its height is 12 cm, then what will be its volume (in cm³ )?

If${\mathrm{V}}_1,{\mathrm{V}}_2 \mathrm{and} {\mathrm{V}}_3$ be the volumes of a right circular cone, a sphere and a right circular cylinder having the same radius and same height, then_____.

A wire of length $22 \mathrm{cm}$ and $0.2 \mathrm{cm}$ in diameter is melted and recast into small balls of diameter $0.1 \mathrm{cm}$. The number of balls made are:

The length of a cube is twice the length of another cube.The ratio of the volumes of the first and the second cube is:

If a solid cone of volume $27\mathrm{\pi } {\mathrm{cm}}^3$ is kept inside a hollow cylinder whose radius and height are that of the cone, then the volume of water needed to fill the empty space is:

A wooden box of dimension $8 \mathrm{m}\times 7 \mathrm{m}\times 6 \mathrm{m}$ is to carry rectangular boxes of dimensions $8 \mathrm{cm}\times 7 \mathrm{cm}\times 6 \mathrm{cm}$. The maximum number of boxes that can be carried in $1$ wooden box is _____.

A sphere of the radius $3 \mathrm{cm}$ is dropped into a cylindrical vessel partly filled with water. The radius of the vessel is $6 \mathrm{cm}$. If the sphere is submerged completely, the water's surface is raised by _____.

The base radius of the right circular cone is$5 \mathrm{cm}$ and its vertical height is $42 \mathrm{cm}$. Its volume is _____.