A 15 cm long test tube having diameter of 3.6 cm has water up to a height of 6 cm. 20 spherical drops of oil of radius 9 mm are dropped into it. What length of test tube remains empty ?

A cylinder of radius 12 cm contains water to a depth of 20 cm. When a spherical iron ball is dropped in to the cylinder, the level of water is raised by 6.75 cm. Find the radius of the ball. [pi = (22)/(7)]

In a capillary tube experiment, a vertical 30 cm long capillary tube is dipped in water. The water rises up to a height of 10 cm due to capillary action. If this experiment is conducted in a freely falling elevator, the length of te water column becomes

A 20 cm long capillary tube is dipped in water. The water rises up to 8 cm. If the entire arrangement is put in a freely falling elevator, the length of water column in the capillary tube will be

A hemispherical bowl of internal diameter 36 cm. contains a liquid. This liquid is to be filled in cylindrical bottles of radius 3 cm and height 6 cm. How many bottles are required to empty the bowl?

A tank in shape of frustum of a cone having diameter of top and bottom are 6cm and 10m respectively. If the height is 3m then how many litres of oil can be filled in it? How many drums of 200l each can be filled?

A 20 cm long capillary tube is dipped in water The water rises upto 8 cm . If the entire arrangement is put in freely falling elevator,the length of water column in capillary tube will be ?

A container shpaed like a right circular cylinder having diameter 12 cm and height 15 cm is full of ice creqa. The ice cream is to be filled into cones of height 12 cm and diameter 6 cm, having a hemispherical shape on the top. Find the number of such cones which can be filled with ice cream.

At a Ramzan Mela, a stall keeper in one of the food stalls has a large cylindrical vessel of base radius 15 cm filled up to a height of 32 cm with orange juice. The juice is filled in small cylindrical glasses (see the given figure) of radius 3 cm up to a height of 8 cm and sold for Rs. 3 each. How much money does the stall keeper receive by selling the juice completely ?

A wooden toy rocke is in the shape of a cone mounted on a cylinder, as shown in the given figure. The height of the entire rocket is 26 cm, while the height of the conical part is 6 cm, the base of the concial protion has a diameter of 5 cm, while the base diameter ofthe cylinderical protion is 3 cm. if the concial portion is tobe painted organe and the cylinderical portion yellow. Find the area of the rocke painted with each of these colours. (Take pi=3.14)