Volume and Cm

AREA (i) The body politic of a rhombus is equal to the playing area of a triangle whose make and the corresponding superlativeare 24. 8 cm and 16. 5 cm respectively. If one of the sloping of the rhombus is 22 cm, find the duration of the other diagonal. (ii) The floor of a rectangular h on the whole has a perimeter 250m. If the cost of paining the four walls at therate of Rs 10 per m2 is Rs 1500. get word the tallness ofthe hall. (iii) A manner is fractional as long again as it is broad. The cost of carpeting the room at Rs 3. 25 per m2 is Rs 175. 50 and the cost of papering the walls at Rs 1. 40 per m2 is Rs 240. 80.If 1 door and 2 windows occupy 8m2, find the dimensions of the room. (iv) A river 2m slurred and 45m considerable is flowing at the rate of 3 km per hour. rise up the hoi polloi of water that runs into the sea per minute. (v) A closed cylinder has diam 8cm and height 10cm. get word its total advance area and volume. (vi) The volume of a metallic cylinde r pipe up is 748cm3 . Its length is 14 cm and out-of-door diameter 18cm. acknowledge its ponderousness. (vii) A rounded bucket, 28cm in diameter 72cm high gear is full of water. The water is emptied into a rectangular tank, 66cm long and 28cm wide. Find the height of the water level in the tank. viii) A rounded tube, open at both ends, is made of metal. The internal diameter of the tube is 10. 4cm and its length is 25cm. The thickness of the metal is 8mm everywhere. Calculatethe volume of the metal. (ix) The inequality between outside and inside(a) fold of a cylindrical metallic pipe 14cm long is 44cm2 . If the pipe is made of 99 cm3 . Find the outside and inner radii of the pipe. Volume and surface area. 1. A hollow cylindrical pipe is 21 dm long. Its satellite and inner diameters are 10cm and 6cm respectively. Find the volume of copper used in making the pipe. 2.The height of a right circular cylinder is 10. 5m. three times the sum of the areas of its two circular face s is twice the area of the cut surface. Find the volume of the cylinder. 3. The circumference of the base of a 10m high conic tent is 44m. Calculatethe length of nookievas used in making the tent if width of canvas is 2m. 4. The wheel spoke and height of a cone are in the ratio 43 the area of the base is 154cm2. find the area of the curved surface. 5. The volume of a metallic cylindrical pipe is 748cm3 . Its length is 14 cm and its external gas constant is 9 cm. Find its thickness. . A well of inner diameter 14m is dug to a depth of 15m. Earth taken out of it has been evenly spread all around it to a width of 7m to form an embankment. Find the height of the embankment. 7. A cloth having an area of 165m is shaped into a cylindrical tent of radius 5m. How many scholars can sit in the tent if a student occupies 5/7 m2 ? Find the volume of air for each student. 8. The difference between inside and outside surfaces of cylindrical tube 14cm long is 88 sq. cm. If the volume of the tu be is 176 cubic cm. find the inner and outer radii of the tube. 9.The area of three adjacent faces of a cuboidal box are 120cm2, 72cm2 and 60cm2 respectively. Find the volume of the box. 10. The total surface area of a hollow cylinder which is open from both sides is 4620cm2, area of base ring is 15. 5cm2 and height 7cm. Find the thickness of the cylinder. Questions for Homework assignment 1. Anunderground watertank isin the shapeof city block ofside 7 m. What will be its volume? 2. What will be volume of a box whose length16 m, width 8 m and height is 5 m? 3. The length, breadth and height of a room are 12 m, 10 m, and 9m respectively. Find the area ofour walls of room? . The volume of a square block is27a3. Find the length of its edge? 5. How much Aluminium sheet will be need to make a container with lid whose length is 13 m, breadth is 8 m and height is 4 m? 6. The volume of a cube is1331cm3. Find the length of its edge? 7. The length of diagonal of a cube is 17. 32 cm. Find th e volume of that cube? 8. Three cubes whose sides are 6 cm, 8 cm and 10 cm. They are melted and form a cube. Find the volume of that cube? 9. Two cubes have edge 10 m. Their edges have been joined and form a cuboid. What will be the surface area of cuboid thus formed? 0. The total volume of a cube is 512 cubic cm. Find the side of a cube? 11. A rectangular box 14 cm long, 10 cm wide and 5 cm high is to be made with card-board. Find the area of card-board to make that box? 12. What will be the volume of a cylindrical tank whose radius is 7 cm and height is 5 cm? 13. How many solid spheres of2/3cmradius can be made from a solidsphere of2 cm radius? 14. If the volume and surface area of a sphere is numerically same then what will be its radius? 15. The volume of a right circular cylinder is392? cm3and its height is 8 cm. Find the radius?