Surface Areas a...

The adjacent diagram represents a frustum of a cone whose bottom and top radii are 6 cm and 3 cm. Its height is 8 cm. There is a conical cavity to a height of 3 cm at the bottom. The amount of material in the solid is-

A bucket is in a shape of a frustum, $$40\;cm$$ in diameter at the top and $$28\;cm$$ in diameter at the bottom. Find the cost of the tin sheet used in making the bucket, if the cost of tin is $$Rs.\; 1.50$$ per sq dm.

A cylinder of radius $$6\ \text{cm}$$ and height $$h$$ cm is filled with ice cream. The ice cream is then distributed among $$10$$ children in identical cones having hemispherical top. The radius of the base of the cone is $$3\ \text{cm}$$ and its height is $$12\ \text{cm}$$. Then the height $$h$$ of the cylinder must be

A solid sphere of radius 6 cm is melted and recast into small spherical balls each of diameter 1.2 cm. Find the number of balls, thus obtained.

A solid consists of a circular cylinder with an exact fitting right circular cone placed at the top If the height of the cone is h and the total volume of the solid is 3 times the volume of the cone, then the height of the circular cylinder is

Milk World Ltd is a government-owned milk distribution centre. Earlier they used to distribute milk in bottles as shown in the figure for Rs 8 per bottle. Now they have decided to reduce the price per bottle by 50 paise by reducing the size of the bottle. However, they do not want their old customers to notice this change in the size of the bottle so they plan to reduce the circumference of the opening of the bottle without changing the height of the bottle. What is the new circumference of the opening?

A frustum is made by joining edges of following figure. The volume of the frustum thus formed will be ($$\displaystyle \pi =22/7$$)

A circus tent is cylindrical up to a height of 3 m and conical above it. If the diameter of the base is 12 m and the slant height of the conical part is 10 m, then total area of canvas just exceeds

Volume of a bucket 84 cm high, diameter of top as 40 cm and radius of bottom as 10 cm is

An object is in the shape of a frustum 50 cm high, Area of its top and bottom are 81 $$\displaystyle m^{2}$$ and 36 $$\displaystyle m^{2}$$. Its volume is