Content text maths pyqs 10th.pdf
Surface Areas and Volumes Previous Years' CBSE Board Questions 12.1 Introduction MCQ 1. The curved surface area of a cone having height 24 cm and radius 7 cm, is (a) 528 cm2 (b) 1056 cm2 (c) 550 cm2 (d) 500 cm2 (2023) 2. Curved surface area of a cylinder of height 5 cm is 94.2 cm2. Radius of the cylinder is (Take л = 3.14) (a) 2 cm (b) 3 cm (c) 2.9 cm (d) 6 cm (2023) 3. A solid spherical ball fits exactly inside the cubical box of side 2a. The volume of the ball is 4. The radius of a sphere (in cm) whose volume is 12π cm3, is (a) 3 (b) 3√3 (c) 32/3 (d) 31/3 (2020) if want to purchase science or maths all chapters PYQs in just 99 without watermark whtsapp 7780819690 cbsewallah.com
5. A rectangular sheet of paper 40 cm x 22 cm, is rolled to form a hollow cylinder of height 40 cm. The radius of the cylinder (in cm) is VSA (1 mark) 6. Two cones have their heights in the ratio 1:3 and radii in the ratio 3: 1. What is the ratio of their volumes? (2020) 7. Volume and surface area of a solid hemisphere are numerically equal. What is the diameter of hemisphere? (Delhi 2017) SAI (2 marks) 8. How many cubes of side 2 cm can be made from a solid cube of side 10 cm? (2020) 9. A cone and a cylinder have the same radii but the height of the cone is 3 times that of the cylinder. Find the ratio of their volumes. (2020) 10. If the total surface area of a solid hemisphere is 462 SA II (3 marks) 11. The radius of the base and the height of a solid right circular cylinder are in the ratio 2:3 and its volume is 1617 cm3. Find the total surface area of the cylinder. 12. A heap of rice is in the form of a cone of base diameter 24 m and height 3.5 m. Find the volume of the rice. How much canvas cloth is required to just cover the heap? (2018) 13. The sum of the radius of base and height of a solid right circular cylinder is 37 cm. If the total surface area of the cylinder is 1628 sq. cm, find the volume of if want to purchase science or maths all chapters PYQs in just 99 without watermark whtsapp 7780819690 cbsewallah.com
14. A right circular cone of radius 3 cm, has a curved surface area of 47.1 cm2. Find the volume of the cone. (Use л = 3.14) (Delhi 2016) 15. A 5 m wide cloth is used to make a conical tent of base diameter 14 m and height 24 m. Find the cost of LA (4/5/6 marks) 16. Case Study: John planned a birthday party for his younger sister with his friends. They decided to make some birthday caps by themselves and to buy a cake from a bakery shop. For these two items they decided the following dimensions: Cake Cylindrical shape with diameter 24 cm and height 14 cm. Cap: Conical shape with base circumference 44 cm and height 24 cm. Based on the above information answer the following questions. (a) How many square cm paper would be used to make 4 such caps? (b) The bakery shop sells cakes by weight (0.5 kg, 1 kg, 1.5 kg, etc.,). To have the required dimensions how much cake should they order if 650 cm3 equals 100 g of cake? (Term II, 2021-22) 12.2 Surface Area of a Combination of Solids SA II (3 marks) if want to purchase science or maths all chapters PYQs in just 99 without watermark whtsapp 7780819690 cbsewallah.com
17. Three cubes of side 6 cm each, are joined as shown in given figure. Find the total surface area of the resulting cuboid. 18. Two cones with same base diameter 16 cm and height 15 cm are joined together along their bases. Find the surface area of the shape so formed. (2019 C) 19. A wooden article was made by scooping out a hemisphere from each end of a solid cylinder, as shown in figure. If the height of the cylinder is 10 cm and its base is of radius 3.5 cm. Find the total surface area of the article. 20. In the given figure, there is a decorative block, made up of two solids a cube and a hemisphere. The base of the block is a cube of side 6 cm and the hemisphere fixed on the top has a diameter of 3.5 cm. Find the total surface area of the if want to purchase science or maths all chapters PYQs in just 99 without watermark whtsapp 7780819690 cbsewallah.com