Surface Areas a...

A bucket is in the shape of the frustum of a right circular cone, whose radii are $$6$$mm and $$24$$ mm. The curved surface area is $$450$$mm. Find the slant height. (Use $$\pi = 3$$).

A vessel is in the form of a frustum of a cone. Its radius at top end is $$10$$ m and the bottom end is $$5$$ m. Its volume is $$402 \pi$$ cubic meter.  Find its height.

A flower bucket in the shape of a frustum cone with the top and bottom circles of radii $$5$$ in. and $$10$$ in. It's depth is $$15$$ in. Find its volume.

A drinking glass is in the shape of a frustum of a cone of height $$12$$ cm. The diameters of its two circular ends are $$2$$ cm and $$1$$ cm. Find the capacity of the glass.

The curved surface area of the frustum cone shaped bucket is $$360 \pi \space\ cm^2$$. The top and bottom diameter of the bucket is $$6$$cm and $$12$$ cm. What is the slant height?

A flower pot in the shape of a frustum cone with the top and bottom circles of radii $$20$$m and $$40$$m. It's depth is $$15$$in. Find its surface area.

Find the volume of the frustum cone with $$r=2$$m, $$R=4$$m and $$h=10$$m. (Use $$\pi = \cfrac{22}{7}$$).

The volume of a frustum cone is $$4,200 cm^3$$, whose base and upper area of a circle is $$10cm^2$$ and $$90cm^2$$. Find the height of the cone.

A table lamp is in the shape of the frustum of a right circular cone whose curved area is $$1200 m^2$$ and the area of the base and top is $$2400 m^2$$. Find the total surface area of the frustum cone.

A loudspeaker diaphragm is in the form of a frustum of a cone. The slant height is $$15$$ cm. The curved surface area is $$1200 cm^2$$. The base diameter is $$3$$ cm. Find the top diameter of the loud speaker.