Ncert -Maths -Surface Areas and Volumes- Set A Welcome to your Ncert -Maths -Surface Areas and Volumes- Set A 1. When the radius of a sphere decreases from 3 cm to 2.98 cm then the approximately decrease in volume of sphere is 0.72π cm³ 0.072π cm³ 0.002π cm³ 0.008π cm³ None 2. Three solid metallic spheres of radii 6, 8 and 10 centimetres are melted to form a single solid sphere. The radius of the sphere so formed is __________. 12cm 24cm 16cm 18cm None 3. The largest sphere is carved out of a cube of edge 14 cm. The volume of this sphere is: 1437 cm³ 1370 cm³ 1800 cm³ 1744 cm³ None 4. If the diameter of the base of a cylinder is 14 cm and its height is 12 cm then the volume of the cylinder in m³ is 10.1848m³ 0.000008m³ 18.48m³ 10.1848m³ 0.100008m³ None 5. If the surface area of a sphere is 144π m², then its volume is 300π m² 288π m² 188π m² 316π m² None 6. Find the ratio of the volume of sphere A to sphere B, if the ratio of the surface area of sphere A to the surface area of sphere B is 729:1. 19,683: 1 81:1 27:1 19838:1 None 7. Volume of two spheres are in the ratio 64:27. The ratio of their surface areas is: 16:9 3:4 4:3 9:16 None 8. A hemispherical tank full of water is emptied by a pipe at the rate of \(3\frac{4}{7} \) litres per second . How much time will it take to half empty the tank, if the tank is 3 metres in diameter? (Take π= 22/7) 12.8m 16.5m 29.5m 18.2m None 9. The surface area of a 10 cm×4 cm×6 cm brick is 84cm² 124cm² 180cm² 164cm² None 10. The ratio of the radii of two spheres is 4:5. Find the ratio of their total surface areas is: 4:5 16:25 17:20 5:4 None 11. A water tank has a capacity of 10,000 litre. Its value in m³ is 1 m³ 10m³ 1000m³ None None 12. If the radius of a sphere is doubled, what is the ratio of the volume of the first sphere to that of the second sphere? 8:1 1:8 1:27 1:4 None 13. Find the total surface area of the cuboids of length, breadth and height 12cm,10cm,5cm respectively. 490 cm² 460 cm² 230 cm² 360 cm² None 14. Sixteen cylindrical cans, each with a radius of 1 unit, are placed inside a cardboard box four in a row. If the cans touch the adjacent cans and or the walls of the box, then which of the following could be the interior area of the bottom of the box is square units? 32 16 128 64 None 15. The weight of a sphere of iron of radius 8cm is 1.2kg. What is the weight of a similar sphere whose radius is 4cm? 150 g 400 g 250 g 600 g None Time's up Please Share This Share this content Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Leave a Reply Cancel replyCommentEnter your name or username to commentEnter your email address to commentEnter your website URL (optional) Save my name, email, and website in this browser for the next time I comment.
