Page 1 Material downloaded from http://myCBSEguide.com and http://onlineteachers.co.in Portal for CBSE Notes, Test Papers, Sample Papers, Tips and Tricks 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 - [1] 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 [1] 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 [1] 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 [1] 5. Find the volume of a sphere whose surface area is 154 2 cm [2] 6. If the volume of a right circular cone of height 9 cm is 3 48 cm p Find the diameter of its base [2] 7. The volume of a cylinder is 69300cm 3 and its height is 50cm. Find its curved surface area [2] 8. The volume of a cube is 1000cm 3 , Find its total surface area. [2] 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 [3] 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 [3] 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 [3] 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. [3] 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. [5]Read More

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