Ncert -Maths -Surface Areas and Volumes- Set A Welcome to your Ncert -Maths -Surface Areas and Volumes- Set A 1. 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 1:27 1:4 1:8 None 2. Volume of two spheres are in the ratio 64:27. The ratio of their surface areas is: 3:4 16:9 9:16 4:3 None 3. 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 600 g 400 g 250 g None 4. If the surface area of a sphere is 144π m², then its volume is 300π m² 288π m² 188π m² 316π m² None 5. The largest sphere is carved out of a cube of edge 14 cm. The volume of this sphere is: 1437 cm³ 1744 cm³ 1370 cm³ 1800 cm³ None 6. The ratio of the radii of two spheres is 4:5. Find the ratio of their total surface areas is: 5:4 17:20 16:25 4:5 None 7. 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? 64 128 16 32 None 8. The surface area of a 10 cm×4 cm×6 cm brick is 180cm² 124cm² 84cm² 164cm² None 9. 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 10.1848m³ 0.100008m³ 18.48m³ None 10. 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 __________. 24cm 12cm 18cm 16cm None 11. 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. 81:1 27:1 19838:1 19,683: 1 None 12. A water tank has a capacity of 10,000 litre. Its value in m³ is 1000m³ 10m³ 1 m³ None None 13. 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 0.008π cm³ 0.002π cm³ None 14. Find the total surface area of the cuboids of length, breadth and height 12cm,10cm,5cm respectively. 460 cm² 490 cm² 360 cm² 230 cm² None 15. 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) 29.5m 18.2m 16.5m 12.8m 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.
