QUESTION 1. Volume of a cube is . What will be the length of its edge?
QUESTION 2. Find the area of cardboard needed to make a rectangular box long, wide and high.
QUESTION 3. Curved surface area of a cone is . What will be the radius of the cone if its slant height is ?
QUESTION 4. 50 circular plates each of equal radius are placed one over the other to form a cylinder. Find the height of the cylinder so formed, thickness of each plate is .
QUESTION 5. In a shower, there is rainfall. Find in cubic metre the volume of water that falls on 2 hectares of ground. (1 hectare )
QUESTION 6. The slant height of a frustum of a cone is 4 cm and the perimeters (circumference) of its circular ends are 18 cm and 6 cm. Find the curved surface area of the frustum.
QUESTION 7. A copper rod of diameter 1 cm and length 8 cm is drawn into a wire of length 18 m of uniform thickness. Find the thickness of the wire.
QUESTION 8. Water is flowing at the rate of 5 km/hour through a pipe of diameter 14 cm into a rectangular tank of dimensions 50 m × 44 m. Find the time in which the level of water in the tank will rise by 7 cm.
QUESTION 10. A right triangle with sides 3 cm and 4 cm is revolved around its hypotenuse. Find the volume of double cone thus generated. (Use π = 3.14).
QUESTION 11. An open metal bucket is in the shape of a frustum of a cone, mounted on a hollow cylindrical base made of the same metallic sheet (Fig). The diameters of the two circular ends of the bucket are 45 cm and 25 cm, the total vertical height of the bucket is 40 cm and that of the cylindrical base is 6 cm. Find the area of the metallic sheet used to make the bucket, where we do not take into account the handle of the bucket. Also, find the volume of water the bucket can hold.
QUESTION 12. Curved surface area of cylinder is . Its radius is , then find its height.
QUESTION 13. There are two cones. The lateral surface area of one cone is twice the lateral surface area of second cone. The slant height of second cone is twice the slant height of first cone, find the ratio of their radii.
QUESTION 14. A toy is in the form of a cone of radius 3.5 cm mounted on a hemisphere of same radius. The total height of the toy is 15.5 cm. Find the total surface area of the toy.
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