Shown below is a cylindircal container, completely filled with water. A hemispherical vessel of radius 3 cm is fitted perfectly on the top of the cylinder (Fig 2) causing some water to spill out of the cylindrical vessel. The height of the cylinder is 10 cm.

The volume of water that remains in the cylinder is ml.

(Note: Use π = 3.14 and round the answer to the nearest whole number.)

The picture shows the shape of a boiler. Total height of the boiler is $12$ metres and the diameter is $6$ meters, height of the cylindrical part is $6$ meters.

How many litres can the boiler hold ?

($1 m^3=1000$ litre)

A solid is in the form of a cone mounted on a right circular cylinder, both having same radii as shown in the figure. The radius of the base and height of the cone are $7 \mathrm{cm}$ and $9 \mathrm{cm}$ respectively. If the total height of the solid is $30 \mathrm{cm}$, find the volume of the solid.

If a cubical container of length, breadth and height each of $10 \mathrm{cm}$ can contain exactly $1$ litre of water, then a spherical container of radius $10.5 \mathrm{cm}$ can contain

If a hemisphere is melted and four spheres of equal volume are made, the radius of each sphere will be equal to.

The length and breadth of a rectangular sheet are 48 m and 36 m respectively. A square is cut off from each of its corners, so that an open box be made. If the side of square be 16m, what will be the volume of the box so formed (in cubic m)? 

(A) 1,024 

(B) 1,224 

(C) 1,324 

(D) 1,124