Surface Areas a...

If the ratio of the radii of the circular ends of a conical bucket whose height is $$60$$cm is $$2:1$$ and addition of the areas is $$770$$ sq.cm. Find the capacity of the bucket in litres.

A shuttle cock used for playing badminton has the shape of the combination of

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

A cone is cut through a plane parallel to its base and then the cone that 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

During conversion of a solid from one shape to another, the volume of the new shape will

The shape formed by rotating a right triangle about its height is

Consider a frustum of cone with larger and smaller radius equal to $$r_1 \ and\ r_2$$, respectively. Then, volume of frustum of a cone is $$\frac {1}{3}{\pi}h(r_{1}^{2}+r_{2}^{2}+r_1r_2)$$.

An oxygen cylinder is in the form of a right circular cylinder with a cone at one end and a hemisphere at the other end. Their common radius is r and height of cylindrical part is H cm and that of conical part is h cm. Express the volume V in terms of H, h & r

If $$ \displaystyle S_{1}  $$ and $$\displaystyle S_{2}   $$ be the surface area of a sphere and the curved surface of the circumscribed cylinder then $$ \displaystyle S_{1}  $$ is equal to

A conical flask of base radius r and height h is full of milk. The milk is now poured into a cylindrical flask of radius 2r. What is the height to which the milk will rise in the flask?