Surface Areas a...

Find the volume of the frustum cone whose base and top radius is $$10$$ cm and $$2$$ cm respectively. The height of the cone is $$3$$cm. (Use  $$\pi =\dfrac{22}{7}$$). 

Find the volume of the frustum cone whose base and top radius is $$5$$ mm and $$2$$ mm respectively. The height of the cone is $$15$$mm. (Use $$\pi$$ = 3.14). 

Find the volume of a frustum cone, whose base and upper area of a circle is 36 and 100 $$mm^2$$. The height of the cone is 32.5 mm.

Find the volume of the frustum cone whose base and top radius is $$0.1 cm$$ and $$0.01 cm$$ respectively. The height of the cone is $$3cm$$. (Use $$\pi$$ = 3). 

A dish in the shape of a frustum of a cone has a height of $$6$$cm. Its top and its bottom have radii of $$24$$cm and $$16$$cm respectively. Find its curved surface area. ( in $$\displaystyle cm^{2}$$)

A drum is in the shape of a frustum of a cone. Its top and bottom radii are $$20$$ ft and $$10$$ ft respectively. Its height is $$15$$ ft. It is fully filled with water. This water is emptied into a rectangular tank. The base of the tank has the dimensions $$100$$ ft $$\times 50$$ ft. Find the rise in the height of the water level in the tank.

Find the volume of a frustum cone, whose base and upper area of a circle is $$40cm^2$$ and $$40$$ $$cm^2$$. The height of the cone is $$12$$ cm.

The base and top radius of a truncated cone are $$20 mm$$ and $$10 mm$$ respectively. The height of the cone is $$360 mm$$. What is the volume of a truncated cone? (Use $$\pi$$ = 3). 

The volume of a frustum cone is 4,200 $$cm^3$$, whose base and upper area of a circle is 40 and 10 $$cm^2$$. Find the height of the cone.

The volume of a frustum cone is 2,700 $$in^3$$, whose base and upper area of a circle is 20 and 5 $$in^2$$. Find the height of the cone.