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# CBSE Test Paper Class - IX Mathematics (Surface area and Volumes) Class 9 Notes | EduRev

## Class 9 : CBSE Test Paper Class - IX Mathematics (Surface area and Volumes) Class 9 Notes | EduRev

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CBSE TEST PAPER-05
CLASS - IX Mathematics (Surface area and Volumes)

1. Volume of hollow cylinder
(i)
( )
2 2
R r h p -                             (ii)
2
R h p
(iii)
2
r h p                                        (iv) ( )
2
1 2
r h h p -

2. Diameter of the base of a cone is 10.5 cm and its slant height is 10 cm. then
curved surface area.
(i) 155
2
cm                                       (ii) 165
2
cm
(iii) 150
2
cm                                    (iv) none of these

3. The surface area of a sphere of radius 5.6 cm is
(i) 96.8
2
cm p                                   (ii) 94.08
2
cm p
(iii) 90.08
2
cm p                              (iv) none of these

4. The height and the slant height of a cone are 21 cm and 28 cm respectively then
volume of cone
(i) 7556
3
cm                                     (ii) 7646
3
cm
(iii) 7546
3
cm                                  (iv) none of these

5.
Find the volume of a sphere whose surface area is 154
2
cm

6.
If the volume of a right circular cone of height 9 cm is
3
48 cm p Find the diameter
of its base

7. The volume of a cylinder is 69300cm
3
and its height is 50cm. Find its curved
surface area

8. The volume of a cube is 1000cm
3
, Find its total surface area. 
9. A right triangle ABC with sides 5 cm, 12cm, and 13 cm is revolved about the side
12 cm, find the volume of the solid so obtained

10. The inner diameter of a circular well is 3.5 m. It is 10 m deep find.
(i) Its inner curved surface area. (ii) the cost of plastering this curved surface at
the rate of Rs 40 per m
2


11. A Godown measures 40 25 10 . m m m × × Find the maximum number of wooden
crates each measuring 10 1.25 0.5 m m m × × that can be stored in the go down

12.
The volume of a right circular cylinder is 576p
3
cm and radius of its base is 8
cm. Find the total surface area of the cylinder.

13.
A hollow spherical shell is made of a metal of density
3
9.6 / g cm . The external
diameter of the shell is 10cm and its internal diameter is 9 cm. Find
(i)  Volume of the metal contained in the shell
(ii) Weight of the shell.
(iii) Outer surface area of the shell.

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