Surface Areas a...

A military of height $$8.25\ m$$ is in the form of a right circular cylinder of base diameter $$30\ m$$ and height $$5.5\ m$$ surmounted by a right circular cone of same base radius. Find the length of the canvas use in making the tent, if the breadth of the canvas is $$1.5\ m$$

If the height of a bucker in the shape of frustum of a cone is $$16\ cm$$ and the diameters of its two circumends are $$40\ cm$$ and $$16\ cm$$,then its slant height is 

$$2$$ cubes each of volume $$64{cm}^{3}$$ are joined end to end. Find the surface area of the resulting cuboid.

A hollow iron pipe is $$21\,cm$$ long and its external diameter is $$8\,cm$$. If the thickness of the pipe is $$1\,cm$$ and iron weighs $$8\,g/c{m^3}$$, then the weight of pipe is :

12 sphere of the same size are made from melting a solid cylinder of 16 cm diameter and 2 cm height. The diameter of each sphere is:

A metallic bucket, open at the top, of height $$24\ cm$$ is in the form of the frustum of a cone, the radii of whose lower and upper circular ends are $$7\ cm$$ and $$14\ cm$$ respectively. Find:
(i) the volume of water which can completely fill the bucket.
(ii) the area of metal sheet used to make the bucket. [Use $$\pi=\dfrac{22}{7}$$]

The radius of the base of a cone is $$4\ \text{cm}$$ and the height is $$3\ \text{cm}$$. Find its Curved Surface area. $$\left(\pi=\dfrac{22}{7}\right)$$

The side of a solid metallic cube is $$50\ \text{cm}$$. it is melted and recast into $$8000$$ similar solid cubical dies. Find the side of each die.

The slant height of a cone is fixed at 7 cm. The rate of increase in the volume of the cone corresponding to the rate of increase of 0.3 cm/s in the height when h = 4 cm is

A cylindrical can of internal diameter 21 cm contains water. A solid sphere whose diameter is 10.5 cm is lowered into the cylindrical can. The sphere is completely immersed in water. Calculate the rise in water level, assuming that no water overflows.