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1.
The part of straight line 
between 
and 
is revolved about 
-axis, then the curved surface of the solid thus generated is
between and is revolved about -axis, then the curved surface of the solid thus generated is
2.
Area bounded by 
is
is
3.
The figure shows a 
and the parabola 
The ratio of the area of the to the area of the region 
of the parabola 
is equal to
and the parabola The ratio of the area of the to the area of the region of the parabola is equal to
4.
If the area above -axis, bounded by the curves 
and 
and is 
then the value of 
is
-axis, bounded by the curves and and is then the value of is
5.
The area between the curves 
-axis and the line 
is
-axis and the line is
6.
The area bounded by the parabola 
and 
axis, in square units, is
and axis, in square units, is
7.
The volume of the solid formed by rotating the area enclosed between the curve and the line 
about is (in cubic unit)
and the line about is (in cubic unit)
8.
The volume of spherical cap of height 
cut off from a sphere of radius 
is equal to
cut off from a sphere of radius is equal to
9.
The area of the region bounded by the straight lines and and the curves 
and 
is equal to
and and the curves and is equal to
10.
The area bounded by the curves 
, the -axis and the two ordinates 
and 
, is proportional to
, the -axis and the two ordinates and , is proportional to