In this article, you can find some most important questions from the Chapter,"Surface area and volume".
You can print or save in PDF format.It will help you to revise your Class 10 Mathematics concepts and also helps in your Final Board Exam.
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- If two cubes of edge 3cm each are joined end to end, find the surface area of the resulting cuboid. (1m)
- Metallic spheres of radii 6cm, 8cm and 10cm respectively, are melted to form a single sphere. Find the radius of the resulting sphere. (2m)
- If the total surface area of a solid hemisphere is 462cm2, find its volume. (2m)
- The perimeters of the ends of a frustum of a cone are 36cm and 48cm.If the height of the frustum of a cone is 11cm, find its volume. (3m)
- How many silver coins, 1.75cm in diameter and of thickness 2mm, must be melted to form a cuboid of dimensions 5.5cm x 10cm x 3.5cm? (4m)
- Water flows at the rate of 10m/minute through a cylindrical pipe of 5 mm in diameter. How long would it take to fill a conical vessel whose diameter at the base is 40 cm and depth 24 cm? (4m)
- A solid iron cuboidal block of dimensions 4.4 m × 2.6 m × 1m is recast into a hollow cylindrical pipe of internal radius 30cm and thickness 5cm. Find the length of the pipe. (4m)
- A heap of rice is in the form of a cone of diameter 9 m and height 3.5 m. Find the volume of the rice.How much canvas cloth is required to just cover the heap?(4m)
- 500 persons are taking a dip into a cuboidal pond which is 80 m long and 50 m broad. What is the rise of water level in the pond, if the average displacement of the water by a person is 0.04 m3? (4m)
- Solid spheres of diameter 6 cm are dropped into a cylindrical beaker containing some water and are fully submerged. If the diameter of the beaker is 18 cm and the water rises by 40 cm, find the number of solid spheres dropped in the water. (4m)
- An oil funnel made of tin sheet consists of a 10 cm long cylindrical portion attached to a frustum of a cone. If the total height is 22 cm, diameter of the cylindrical portion is 8 cm and the diameter of the top of the funnel is 18 cm, find the area of the tin sheet required to make the funnel (see the given figure). (4m)
- A cylindrical container of radius 6cm & height 15cm is filled with ice-cream. The whole ice cream has to be distributed to 10 children in equal cones with hemispherical tops. If the height of the conical portion is 4 times the radius of its base, find the radius of the cone. (4m)
- Two types of water tankers are available in a shop. One is in a cubic form of dimensions 1 m x 1m x 1 m and another is in the form of cylindrical form of diameter 1 m and height is also 1 m.The shopkeeper advises to purchase cuboid tank to a customer.
(i) Calculate the volume of the both tankers.
(ii) Which value is depicted by the shopkeeper? (4m)
- An ice cream seller has two types of ice cream container in the form of cylindrical shape and a cone with hemi-spherical base. Both have same height of 7 cm and same diameter of 7 cm. The cost of container are same but the seller decide to sell ice cream in cylindrical containers.
(i)Calculate the volume of the both containers.
