Surface Areas a...

A table lamp is in the form of a frustum of a cone whose area of the top and bottom circle bases are 212 and 103 $$m^2$$. Find the total surface area, if slant height is 10 m and top and bottom radii are 2 and 4 m ( Use $$\pi$$ = 3)

A solid sphere of radius 6 mm is melted and then cast into small spherical balls each of radius 0.6 mm. Find the number of balls thus obtained.

Three cubes, whose edges are 12 cm, x cm and 10 cm respectively, are melted and recasted into a single cube of edge 14 cm. Find 'x'.

A water jug is in the shape of a frustum of a cone of height $$21\ cm$$. The radii of its two circular ends are $$12\ cm$$ and $$7\ cm$$. Find the capacity of the water jug. (Use $$\pi$$ = 3).

A solid is in the shape of a cone standing on a hemisphere with both their radii being equal to 21 m and the height of the cone is 10 m. Find the volume of the solid.

A metallic solid of volume 2200 $$cm^3$$ is melted and drawn into the form of a wire of height 7 cm. Find the radius of the wire.

If the radii of the circular ends of a conical water glass are 25 and 12 cm whose height is 45 cm. Find the capacity of the water glass? (Use $$\pi$$ = 3.14)

A solid is in the shape of a cone standing on a hemisphere with both their radii being equal to $$12$$ m and height of the cone is $$5$$ m. Find the volume of the solid. 

A cylindrical powder tin of 15 cm of height and 14 cm of radius is filled with water. The powder tin is emptied to make a conical heap of water on the ground. If the height of the conical heap is 42 cm, what is approximate value of the radius? (Use $$\pi$$ = 3).

A brick whose length, breadth and height are $$3$$m, $$6$$m and $$9$$m respectively which are cut into single cuboid. Find the surface area of the cuboid.