Surface Areas a...

The shape of a glass (tumbler) (see above figure) is usually in the form of a

A right circular cylinder of radius $$r$$ cm and height $$h$$ cm (where $$h> 2r$$) just encloses of sphere of diameter

A medicine-capsule is in the shape of a cylinder of diameter $$0.5cm$$ with two hemispheres stuck to each to its ends. The length of entire capsule is $$2cm$$. The capacity of the capsule is

Twelve solid spheres of the same size are made by melting a solid metallic cylinder of base diameter 2 cm and height 16 cm. The diameter of each sphere is:

A cone is cut through a plane parallel to its base and then the cone is formed on one side of that plane is removed. The new part that is left over on the other side of the plane is called

The volume of a frustum of a cone of height h and ends radii $$r_1$$ and $$r_2$$ is

If a rectangle revolves about one of its sides and completes a full rotation the solid formed is called

If the radii of the circular ends of a bucket $$24$$ cm high are $$5$$ cm and $$15$$ cm respectively, find the inner surface area of the bucket (i.e., the area of the metal sheet required to make the bucket) 

A circus tent is cylindrical upto a height of 3 cm and conical above it. If the diameter of the base is 105 m and the slant height of the conical part is 53 m, find the total cost of the canvas used to make the tent when the cost per square metre of the canvas is Rs. 10. (Take $$\pi =22/7$$)

A solid is in the form of a cone mounted on a right circular cylinder both having same radii of their bases. Base of the cone is placed on the top base of the cylinder. If the radius of the base and height of the cone be 4 cm and 7 cm, respectively, and the height of the cylindrical part of the solid is 3.5 cm, the volume of the solid is equal to