Question 1 :
A conical cup $18$ cm high has a circular base of diameter $14$ cm The cup is full of water which is now poured into a cylindrical vessel of circular base whose diameter is $10$ cm What will be the height of water in the vessel
Question 2 :
The radius of a sphere is 9 cm It is melted and drawn into a wire of diameter 2 mm Find the lenght of the wire in meters
Question 3 :
The ratio of the volumes of two spheres is $8 : 27$. The ratio of their radii is<br/>
Question 4 :
If the circumference of the inner edge of a hemispherical bowl is$\displaystyle \frac{132}{7}$cm then what is the capacity?
Question 5 :
The number of balls of radius $1$ cm that are made from a solid sphere of radius $4$ cm
Question 6 :
A solid piece of iron of dimensions $49$cm $\times$ $33$cm $\times$ $24$cm is moulded into a sphere. The radius of the sphere is __________.
Question 7 :
Find the capacity in litres of a conical vessel with radius $7\ cm$, slant height $25\ cm$
Question 8 :
If the volume of a right circular cone of height $9\ cm$ is $48\pi \ {cm}^{3}$, find the diameter of its base.<br/>
Question 9 :
The diameter of a cone is 14 cm and its slant height is 9 cm .Then the area of its curved surface is
Question 10 :
The number of solid spheres, each of diametres 6 cm, that could be moulded to form a solid metal cylinder of height 45 cm and diameter 4 cm is
Question 11 :
The radius and height of a cone are each increased by $20%$, then the volume of the cone is increased by
Question 12 :
A right circular cone is $5.8\;cm$ high and radius of its base is $3.4\;cm$. It is melted and recast into a right circular cone with radius of its base $1.7\;cm$. Find its height.
Question 13 :
The diameter of a sphere is 6 cm. It is melted and drawn into a wire of diameter 2 mm. The length of the wire is
Question 14 :
A rope makes 70 rounds of the circumference of a cylinder whose radius of the base is 14 cm. How many times can it go round a cylinder with radius 20 cm?
Question 15 :
The volume of a right circular cylinder can be obtained form its curved surface area by multiplying it by its