Surface Areas a...

A few blocks of wood are used to make the shape of a giraffe as shown below. What is the volume of wood used to make the giraffe?

How many small cubes, each of $$96\, cm^2$$ surface area can be formed from the material obtained by melting a larger cube of $$384\, cm^2$$ surface area ?

The adjacent diagram represents a frustum of a cone whose bottom and top radii are 6 cm and 3 cm, its height is 8 cm. There is a conical cavity to a height of 3 cm at the bottom. The amount of material in the solid is 

Water flows at the rate of 10 m per min from  cylindrical pipe 5 mm in diameter. How long will it take to fill up a conical vessel whose diameter at the base is 40 cm and depth 24 cm ?

The height of a cone is $$30 cm$$. A frustum is out off from this cone by a plane parallel to the base of the cone. If the volume of the frustum is $$ \cfrac{1}{27}$$ of the volume of the cone, find the height of the frustum.

Two steel sheets each of length $$\displaystyle a_{1}$$ and breadth $$\displaystyle a_{2}$$ are used to prepare the surface of two right circular cylinders-one having volume $$\displaystyle V_{1}$$ and height $$\displaystyle a_{2}$$ and the other having volume $$\displaystyle V_{2}$$ and height $$\displaystyle a_{1}$$. Then

A frustum is made by joining edges of following figure. The volume of the frustum thus formed will be $$\displaystyle (\pi =22/7)$$ 

A metallic solid cone is melted and cast into a cylinder of the same base as that of the cone. If the height of the cylinder is $$7\;cm$$, what was the height of the cone?

Two solid cylinders are $$12\;cm\;and\;18\;cm$$ in height. Their diameters are $$12\;cm\;and\;16\;cm$$ respectively. Both the cylinders are melted and the material is moulded into a solid right circular cone of height $$33\;cm$$. Find its diameter.

The diameter of one of the bases of a truncated cone is $$100\ mm$$. If the diameter of this base is increased by $$21 \%$$ such that it still remains a truncated cone with the height and the other base unchanged, the volume also increases by $$21 \% $$. The radius of the other base is