A cylinderical mug of radius 5cm and height 9.8 cm is full of water. A solid in the form of right circular
4 cm. cone mounted on a hemisphere is immersed into the
mug. The radius of the hemisphere is 3.5 cm and
height of conical part 5cm. Find the volume of water left in the tube {Take pir=22/7}
In the adjacent figure , the height of a solid cylinder is 10 cm and diameter is 7 cm.Two equal conical holes of radius 3cm and height 4 cm are cut off as shown
the figure. Find the volume of the remaining solid.
Spherical marbles of diameter 1.4cm are dropped into a cylindrical beaker of diameter 7 cm, which contains some water. Find the number of marbles that should be dropped in to the beaker, so that water level rises by 5.6 cm.
A pen stand is made of wood in the shape of cuboid with three conical depressions to hold thepens. The dimensions of the cuboid are 15cm by 10cm by 3.5cm. The radius of each of the depression is 0.5 cm and the depth is 1.4cm. Find the volume of wood in the entire stand
10.4 CONVERSION OF SOLID FROM ONE SHAPE TO
ANOTHER
A women self help group (DWACRA) preparesc and les by melting
down cuboid shape wax. In gun factories spherical bullets are made
by melting solid cube of lead, goldsmith prepares various ornaments
by melting cubiod gold biscuts. In all these cases, the shapes of
solids are converted into another shapes. In this process, the volume
always remains the same.
How does this happen? If you want a candle of any special shape, you have to heat the wax in me tal container till it is completely melted. Then you pour it in to another container which has the
special shape that you wanted.
