A capsule is in the shape of a cylinder with two hemisphere stuck to each of tis ends. If the length of the entire capsule is 12 mm and the diameter of the capsule is 3 mm, how much medicine it can hold ?

A medicine capsule is in the shape of a cylinder with two hemisphere struck to each of its ends. The length of the entire capsule is 14 mm and the diameter of the capsule is 5 mm. Find its surface area

A wooden toyrocket is in the shape of a cone mounted on a cylinder as shown in the adhacent figure. The height of the entire rocket is 26 cm, while the height of the concial part is 6 cm. The base of the conical position has a diameter of 5 cm, while the base diameter of the cylindrical portion is 3 cm. If the conical portion is to be painted orange and the cylindrical portion is to be painted yellow , find the area of the pocket painted with each of these color (take pi= 3.14 )

A storage tank consists of a circular cylinder with a hemisphere stuck on either end. If the external diameter of the cylinder be 1.4 cm and its length be 8 m. Find the cost of painting it on the outside at rite of Rs. 20per m^2 .

Nathan, an engineering student was asked to make a model shaped like a cylinder with two cones attached at its two ends. The diameter of the model is 3 cm and its length is 12 cm. If each cone has a height of 2 cm, find the volume of the model that Nathan made.

A solid toy is in the form of a right circular cylinder with a hemispherical shape at one end and a cone at the other end. Their common diameter is 4.2 cm. and heights of the cylindrical and concial portion are 12 cm. and 7 cm. respectively. Find the volume of the solid toy. [pi =(22)/(7)]

A solid toy is in the form of a right circular cylinder with hemispherical shape at one end and a cone at the other end. Their common diameter is 4.2 cm and the height of the cylindrical and conical portions are 12 cm and 7 cm respectively. Find the volume of the solid toy. (Use pi= (22)/(7) )

A heater coil is to be constructed with a nichrome wire (rho = 1.0 xx 10^(-6) Omegam) which can operate at 500 W when connected to a 250 V supply. (a) What would be the resistance of the coil? (b) If the cross-sectional area of the wire is 0.5 mm^2 , what length of the wire will be needed? (c) If the radius of each turn is 4.0 mm , how many turns will be there in the coil?

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

Figure shows an aluminium wire of length 60 cm joined to a steel wire of length 80 cm and stretched between two fixed supports. The tension produced is 40 N . The cross-sectional area of the steel wire is 1.0 mm^(2) and that of the aluminimum wire is 3.0 mm^(2) The minimum frequency of a tuning fork which can produce standing waves in the system with the joint as a node is 10P (in Hz ) the find P . Given density of aluminimum is 2.6 g//cm^(3) and that of steel is 7.8 g//cm^(3) .