Surface Areas a...

The area of top and bottom faces of a frustum are 16 $$\displaystyle cm^{2}$$ and 36 $$\displaystyle cm^{2}$$. If the frustum is 30 cm high its volume is

The radii of top and bottom faces of a frustum are $$8$$ $$cm$$ and $$16$$ $$cm$$ and its height is $$15$$ $$cm.$$ The area of curved surface of the frustum is (Use $$\displaystyle \pi =3.14$$)

A cone is divided into two parts by drawing a plane through a point which divides its height in the ratio $$1:2$$ starting from the vertex and the plane is parallel to the base. Find the ratio of the volume of the two parts.

A right-angled triangle whose sides are 15 cm and 20 cm, is made to revolve about its hypotenuse. Find the volume and the surface area of the double cone so formed. [Take $$\pi \simeq 3.14]$$

A cylindrical container of radius 6 cm and height 15 cm is fulled with ice-cream. The whole ice-cream has to be distributed to 10 children in equal cones with hemispherical tops. If the height of the conical portion is four times the radius of its base, find the radius of the ice-cream cone

A circus tent is cylindrical to a height of 6 m and conical above it. If its diameter is 105 m and slant height of the conical portion is 50 m then the total area of canvas required to build the tent is (Use $$\displaystyle \pi =22/7$$) :

The slant height of the right circular cone is $$10$$cm and its height in $$8$$cm  It is cut by plane parallel to its base passing through the mid-point of the height The ratio of the volume cone to that of the frustum of the cone cut is 

A copper sphere of diameter $$6\ m$$ is drawn into a wire of diameter $$0.4\ cm$$. The length of the wire is

Three solid spheres of radius $$1\text{ cm},\;6\text{ cm}$$ and $$8\text{ cm}$$, respectively are melted together and cast into a single sphere. The radius $$r$$ of this sphere will be 

Volume of the solid shown above is