A cylindrical bottle with radius 5 cm and height 14 cm has jam packed in it. The jam is spread evenly over bread of length 11 cm and breadth 10 cm. How thick can the layer of jam be spread, if the entire jam is to cover 10 bread pieces ?

The number of conical bottles of radius 2 cm and height 3.6 cm required to empty the liquid from a cylindrical bottle of radius 6 cm and height 10 cm is ..........

A hemispherical bowl of internal radius 15 cm contains a liquid. The liquid is to be filled into cylindrical bottles of diameter 5 cm and height 6 cm How many bottles are necessary to empty the bowl ?

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 ?

A pen stand made of wood is in the shape of a cuboid with four conical depressions to hold pens. The dimensions of the cuboid are 15 cm by 10 cm 3.5 cm . The radius of each of the depression is 0.5 cm and the depth is 1.4 cm find the volume of wood in the entire stand (See the given figure).

The outer measurements of a cuboidal tank are length 5 m, breadth 4 m and height 2 m. Square tiles of length 20 cm are to be fixed on its outer surfaces except the base. Find the number of tiles required. Find the cost of tiles if a box of 10 tiles costs Rs. 250.

An electric field is uniform and in the positive x direction for positive x and uniform with the same magnitude but in the negative x direction for negative x. It is given that E = 200 hati N//C and E = - 200 hati N/C for x lt 0 . A right circular cylinder of length 20 cm and radius 5 cm has its centre at the origin and its axis along the *-axis so that one face is at jc = + 10 cm and the other is at x = - 10 cm as shown in figure, (a) What is the net outward flux through each flat face ? (b) What is the flux through the side of the cylinder ? (c) What is the net outward flux through the cylinder ? (d) What is the net charge inside the cylinder ?

A juice seller was swerving his customers using glasses as shown in the given figure. The inner diameter of the cylindrical glass was 5 cm. but the bottom of the glass had a hemispherical raised portion which reduced the capacity of the glas.s If the height of the glass was 10 cm, find the appartent capacity of the glass and its actualcapacity. (use pi=3.14)

In the given figure, you see the frame of a lampshade. It is to be covered with a decorative cloth. The frame has a base diameter of 20 cm and height of 30 cm. A margin of 2.5 cm is to be given for folding it over the top and bottom of the frame. Find how much cloth is required for covering the lampshade.

A closed cylindrical tank of height 1.4 m. and radius of the base is 56 cm. is made up of a thick metal sheet. How much metal sheet is required (Express in square meters)

Steam at 373 K is passed through a tube of radius 10 cm and length 10 cm and length 2m . The thickness of the tube is 5mm and thermal conductivity of the material is 390 W m^(-1) K^(-1) , calculate the heat lost per second. The outside temperature is 0^(@)C .