Surface Areas a...

The interior of a building is in the form of a right circular cylinder of a diameter 4.2 m and height  4 m, surmounted by a cone. The vertical height of the cone is 2.1 m. Find the outer surface area and volume of the building.(Take $$\pi$$ = 22/7)

A vessel is in the form of a frusturn of a cone of height $$21$$ cm with radii of its lower and upper ends as $$8$$ cm and 18 cm respectively. Find the cost of milk which can completely fill the vessel at the rate of Rs. $$10$$ per litre.

A iron pillar has some part in the form of a right circular cylinder and remaining in the form of a right circular cone. The radius of the base of each of cone and cylinder is 8 cm. The cylindrical part is 240 cm high and the conical part is 36 cm high. Find the weight of the pillar if $$1cm^3$$ of iron weighs 7.8 grams.

A spherical ball of lead $$5 \,cm$$ in diameter is melted and recast into three spherical balls. The diameters of two of these balls are $$2 \,cm$$ and $$2(14.5)^{1/3}\, cm$$. Find the diameter of the third ball.

A solid toy is in the form of a right circular cylinder with a hemispherical shape of one end and a cone at the other end. Then common diameter is $$4.2 cm$$ and the heights of the cyndrical and conical portions are $$12 cm$$ and $$7 cm$$, respectively. Find the volume of the solid. (Take $$\pi$$ = 22/7)

A grain silo is built from two right circular cones and a right circular cylinder with internal measurements represented by the figure above. Of the following, which is closest to the volume of the grain silo, in cubic feet?

The diameter of the moon is approximately one-fourth of that of the earth. What is the (approximate) ratio of the volume of the moon to that of the earth?

What is volume of the frustum of a cone with height $$h$$ and radii $${r}_{1}$$, $${r}_{2}$$?

What is the maximum number of rectangular wooden blocks with dimensions 20 cm x 30 cm x 40 cm that could fit into a rectangular box with inner dimensions 40 cm x 60 cm x 80 cm?

A sphere has the same curved surface as a cone of height $$12cm$$ and base radius $$5cm$$. Find the radius to the nearest $$cm$$.