Surface Areas a...

A vessel is in the form of a frustum of a cone. Its radius at top end is $$10\ inch$$ and the height is $$12\ inch$$. Its volume is $$1200\pi\ {inch}^3$$.  Find its bottom radius.

The curved surface area of a frustum cone is 34.7 in$$^2$$. The smaller  circle area is 15.8 in$$^2$$. The total surface area is 70.5 in$$^2$$. Find the larger circle area of a cone. 

The total surface area of a frustum cone is 1,200 m$$^2$$. The area of larger and smaller circle is 120 and 100 m$$^2$$. Find the curved surface area of a cone. 

The curved surface area of a frustum cone is 250 mm$$^2$$. The smaller circle area is 35 mm$$^2$$. The total surface area is 450 mm$$^2$$. Find the larger circle area of a cone. 

The curved surface area of a frustum cone is 25$$\pi$$ mm$$^2$$. The larger circle area is 12$$\pi$$ mm$$^2$$. The total surface area is $$350 \pi$$ mm$$^2$$. Find the smaller circle area of a cone.

The curved surface area of a frustum cone is 2.34 cm$$^2$$. The larger circle area is 12.5 cm$$^2$$. The total surface area is 25.8 cm$$^2$$. Find the smaller circle area of a cone.

A vessel is in the form of a frustum of a cone. Its diameter at top end is 2 m and the bottom end is 0.5 m. Its height is 5 m. Find the volume of the frustum cone. (Use $$\pi$$ = 3).

Find the curved surface area of a frustum cone whose larger and smaller radius is 20 and 5 cm. The slant height is 10 cm. (Use $$\pi$$ = 3.14) 

A bucket is in the form of a frustum of a cone. The curved surface area of the bucket is $$120 \pi\ {cm}^2.$$ The top and bottom radius of the bucket is $$8\ cm$$ and $$4\ cm.$$ What is the slant height ?

Find the curved surface area of a frustum cone whose larger and smaller radius is 35 and 10 m. The slant height is 45 m. (Use $$\pi$$ = 3)