An car has two wippers do not overlap. Each wiper has a blade of length 25 cm sweeping through an angle of `115^(@).` Find the total area cleaned at each sweep of the blades.

The faces of two cubes of volume 125 cm^3 each are joined together to form a cuboid. Find the total surface area of the cuboid.

The faces of two cubes of volume 64 cm^3 each are joined together to form a cuboid. Find the total surface area fo the cuboid.

Two cross roads, each of width 10m, cut at right angles through the center of a rectangular park of length 700m and breadth 300m and parallel to its sides. Find the area of the roads. Also find the area of the park excluding cross roads. Give the answer in hectares.

If two tangents inclined at an angle of 60^(@) are drawn to a circle of radius 3 cm,then find the length of each tangent.

Rachel, an engineering student, was asked to make a model shaped like a cylinder with two cones attached at its two ends by using a thin aluminum sheet. The diameter of the model is 3 cm and its length is 12 cm . If each cone has a height of 2cm , find the volume of air contained in the model that Rachel made . ( Assume of outer and inner dimensions of the model to be nearly the same .

(Street plan): A city has two main roads which cross each other at the centre of the city. These two roads are along the North-South direction and East_West direction. All the other streets of the city run parallel to these roads and are 200m apart. There are 5 streets in each direaction. Using 1 cm =200cm, draw a model of teh city on your note book. Represent the roads/streets by single lines. There are many cross-streets in your model. A particular cross-street is made by two streets, one running in the North-South directin and another in the East-West direction. Each cross street is rreferred to in the following manner, If the 2 ^(nd) steeet running in teh North-South direction 5 ^(th) in the East-West direction meet at some crossing, then we will call this cross-street (2,5). Using this convection, find: How many cross-streets can be referred at as (4,3)

(Street plan): A city has two main roads which cross each other at the centre of the city. These two roads are along the North-South direction and East_West direction. All the other streets of the city run parallel to these roads and are 200m apart. There are 5 streets in each direaction. Using 1 cm =200cm, draw a model of teh city on your note book. Represent the roads/streets by single lines. There are many cross-streets in your model. A particular cross-street is made by two streets, one running in the North-South directin and another in the East-West direction. Each cross street is rreferred to in the following manner, If the 2 ^(nd) steeet running in teh North-South direction 5 ^(th) in the East-West direction meet at some crossing, then we will call this cross-street (2,5). Using this convection, find: How many cross-streets can be referred to as (3,4)

A solenoid 60 cm long and of radius 4.0 cm has 3 layers of windings of 300 turns each. A 2.0 cm long wire of mass 2.5 g lies inside the solenoid (near its centre) normal to its axis, both the wire and the axis of the solenoid are in the horizontal plane. The wire is connected through two leads parallel to the axis of the solenoid to an external battery which supplies a current of 6.0 A in the wire. What value of current (with appropriate sense of circulation) in the windings of the solenoid can support the weight of the wire?

Through a rectangular field of length 90m and breadth 60m, two roads are constructed which are parallel to the sides and cut each other at right angles through the center of the fields. If the width of each road is 3 m. Find: the cost of constructing the roads at the rate of Rs.110 /m^2 .