Question Text
Question 1 :
A soft drink is available in two packs – (i) a tin can with a rectangular base of length 5 cm and width 4 cm, having a height of 15 cm and (ii) a plastic cylinder with circular base of diameter 7 cm and height 10 cm. Which container has greater capacity and by how much?
Question 2 :
The inner diameter of a cylindrical wooden pipe is 24 cm and its outer diameter is 28 cm. The length of the pipe is 35 cm. Find the mass of the pipe, if 1 $cm^3$ of wood has a mass of 0.6 g.
Question 3 :
If the volume of a right circular cone of height 9 cm is 48 $\pi$ $cm^3$ , find the diameter of its base.
Question 4 :
A plastic box 1.5 m long, 1.25 m wide and 65 cm deep is to be made. It is opened at the top. Ignoring the thickness of the plastic sheet, determine the cost of sheet for it , if a sheet measuring 1 $m^2$ costs Rs 20.
Question 5 :
Curved surface area of a cone is 308 $cm^2$ and its slant height is 14 cm. Find the total surface area of the cone.
Question 6 :
A solid cube of side 12 cm is cut into eight cubes of equal volume. What will be the side of the new cube?
Question 7 :
A conical tent is 10 m high and the radius of its base is 24 m. Find the cost of the canvas required to make the tent, if the cost of 1 $m^2$ canvas is Rs 70.
Question 8 :
If the lateral surface of a cylinder is 94.2 $cm^2$ and its height is 5 cm, then find its volume. (Use $\pi$ = 3.14)
Question 9 :
A school provides milk to the students daily in a cylindrical glasses of diameter 7 cm. If the glass is filled with milk upto an height of 12 cm, find how many litres of milk is needed to serve 1600 students
Question 10 :
The lateral surface area of a cube is 256 $m^2$. Find the volume of the cube.
