Q.2: A chalk box is in the form of a cube of edge 10.5cm.Find its surface area.
Q.3: Find the lateral surface area of a right circular cylinder whose height is 13.5cm and radius of the base is 7cm.Find also its whole surface area.
Q.4: A roller 150cm long has a diameter of 70 cm.To level a playground it takes 750 complete revolutions .Determine the cost of levelling the playground at the rate of 75 paise per sq. metre.
Q.5: Find the diameter of a sphere whose surface is 346.5sq.cm.
Q.6: A conical tent is 10m high and the radius of its base is 24m.Find its slant height.Also find the cost of canvas used in making the tent at Rs. 70 per sq.m.
Q.7: A hemispherical bowl is made of steel 0.25cm thick .The inner radius of the bowl is 5cm .Find the outer curved surface area of the bowl.
Q.8: Find the volume of a cuboid whose length is 16.4m, breadth =15.5m and height =8.5m.
Q.9: A river 3m deep and 40m wide is flowing at the rate of 2km per hour .How much water will fall into the sea in a minute?
Q.10 The volume of a right circular cylinder is 1100cu cm and the radius of its base is 5cm.Find its curved surface area.
Q.11: A cubodal vessel is 10m long and 8 m wide.How high must be made to hold 380 cu m of a liquid.
Q.12: Find the capacity in litres of a conical vessel whose diameter is 14 cm and slant height 25cm.
Q.13: What are the cubical contents of a well whose diameter is 42 dm and depth 150 dm.?
Q.14: The circumference of the base of a cylindrical vessel is 132 cm and its height is 25 cm .How many litres of water can it hold? [1000cu cm=1litre]
Q.15: A heap of wheat in the form of cone whose diameter is 10.5m and height 3m .Find its volume. The heap is to be covered by canvas to protect it from rain. Find the area of canvas required.
Q.16: The diameter of the moon is approximately one-fourth of the diameter of the earth .What fraction of the earth is the volume of the moon?
Q.17: The radius of a sphere is 5cm .f the radius be increased by 20% ,find by how much %age the volume is increased.
Q.18: A gowdown measures 40mx25mx10m.Find the maximum number of wooden crates each measuring 1.5m x 1.25m x 0.5m that can be stored in the gowdown.
Q.19: Find the length of the longest rod that can be placed in a room 12mx9mx8m.
Q.20: A 4cm cube is cut into 1cm cubes .Calculate the total surface area of small cubes. What is the ratio of surface area of small cubes to that of the large cube?
Q.21: A field is 60m long and 20m wide.A tank 12m long ,10m broad and 3m deep is dug in the field .The earth taken out of it is spread evenly over the field .How much is the level of the field raised supposing the earth taken out increases by 1/8 of the volume?
Q.22: A village having a population of 4000, requires 150 litres of water per head per day . It has a tank measuring 20m x 15m x 6m.For how many days will the water of this tank last ?
Q.23: It costs Rs. 2200 to paint the inner curved surface of a cylindrical vessel 10m deep .If the cost of painting is at the rate of Rs. 20 per sq.m, find
(i) inner curved surface area of the vessel
(ii) radius of the base
(iii) capacity of the vessel
Q.24: The radius and height of a right circular cone are in the ratio 5:12. If its volume is 314 cu cm, find its slant height. ( take π=3.14)
Q.25: A rectangular water reservoir is 7.2m by 2.5m at the base . Water flows into it through a pipe whose cross section is 5cm x 3cm at the rate of 10m per second .Find the height to which the water will rise in the reservoirs in 40 minutes.