Surface Areas a...

A material handing bucket is in the shape of the frustum of a right circular cone. The small radius is $$5$$ cm and the large radius is $$10$$ cm. The height of the frustum cone is $$20$$ cm. Find the volume and the total surface area of the bucket.

Find the curved surface area of a frustum cone whose larger and smaller radius is 4.5 and 2.4 ft. The slant height is 12.5 ft. (Use $$\pi$$ = 3) 

The total surface area of a frustum cone is 3,250 cm$$^2$$. The area of larger and smaller circle is 48 and 36 cm$$^2$$. Find the curved surface area of a cone.

The shape of the wooden block is of the form of frustum of a cone. Determine the volume of a frustum of a cone if the diameters of the ends are 15 cm and 3 cm and its perpendicular height is 18 cm.

A bouquet is in the shape of a frustum of a cone of height 15 cm. The radii of its two circular ends are 4 cm and 2 cm. Find the volume of the bouquet.

A loudspeaker diaphragm is in the form of a frustum of a cone. The slant height is $$30\ cm$$. The curved surface area is $$3600\ cm^2$$. The base diameter is $$5\ cm$$. Find the top diameter of the loud speaker.

The shape of the wooden block is of the form of frustum of a cone. Determine the height of a frustum of a cone if the radii of the ends are 23 m and 4 m and its volume is 2,400 $$m^3$$.

A metallic solid of volume 5 $$m^3$$ is melted and drawn into the form of a wire of radius 12 m. Find the length of the wire.

A tent of height 16 m is in the form of right circular cylinder with radius of base 2 m and height 6 m, surmounted by a right circular cone of the same base. Find the cost of the canvas of the tent at the rate of Rs. 100 per m.

A hemispherical water bottle of internal diameter 48 cm contains some liquid. This liquid is to be filled into cylindrical shaped bottles each of radius 4 cm and h = 12 cm. Find the number of bottles necessary to empty the water bottle.