Question 1 :
If the height of a cone is doubled then its volume is increased by
Question 2 :
There is water to a height of $16cm$ in a cylindrical glass jar of radius $12.5cm$. Inside the water, there is a sphere of diameter $15cm$, completely immersed. By what height will water go down, when the sphere is removed?
Question 3 :
Three solid spheres of a lead are melted into a single solid sphere If the radii of the three spheres be 1 cm, 6 cm and 8 cm respectively Then radius of the new sphere is :
Question 4 :
A solid in the form of a cube has a hemisphere touching four edges of the surface on every surface If the side of the cube is 4 cm then its volumes is
Question 5 :
A right circular cone and a cylinder have a circle of unit radius as base and their heights are equal to the radius itself and a hemisphere has the same radius then their volumes are proportional respectively to
Question 6 :
How many spherical bullets can be made out of a cube of lead whose edge measures $22$cm, each bullet being $2$cm in diameter?
Question 7 :
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 8 :
A cylindrical rod of iron whose height is four times its radius is melted and cast into the spherical balls of the same radius then the number of balls is
Question 9 :
The radius and height of a right circular cone are in the ratio $3:4$. If its volume is $96\pi cm^3$, what is its slant height?
Question 10 :
The volume of a hemispherical ball is given by the$\displaystyle V=\frac{2}{3}\pi r^{3}$ where V is the volume and r is the radius Find the diameter of he hemisphere whose volume is$\displaystyle \frac{468512}{21}m^{3}$
Question 11 :
Find the weight of a solid cone whose base is of diameter $42\;cm$ and vertical height $20\;cm$, supposing that the material of which it is made weights $5$ grams per cubic centimetre.
Question 12 :
Two right circular cones of dimensions h=4.1, r=2.1 cm and h = 4.3 cm, r = 2.1 cm are melted to form a sphere of radius
Question 13 :
What is the number of spherical balls of 2.5 mm diameter that can be obtained by melting a semicircular disc of 8 cm diameter and 2 cm thickness?
Question 14 :
If the surface area of a sphere is$ \displaystyle 324\pi cm^{2} $ then its volume is
Question 15 :
How many metres of plastic sheet, $5\;m$ wide, will be required to make a conical tent, the radius of whose base is $7\;m$ and height is $24\;m$ ?
Question 16 :
Area of canvas needed to erect a right conical tent of height 12 m and a circular base having circumference$\displaystyle 10\pi $ m is
Question 17 :
If the sum of the radii of two spheres is 2 km and their volumes are in the ratio 64:27 then the ratio of their radii is
Question 18 :
If the base area and the volume of a cone are numerically equal, then its height is 3 units.<br>
Question 19 :
If the circumference of the inner edge of a hemispherical bowl is$\displaystyle \frac{132}{7}$cm then what is the capacity?
Question 20 :
A right circular cone having a circular base and same radius as that of a given sphere. The volume of the cone is one half of the sphere. The ratio of the altitude of the cone to the radius of its base is: 
Question 21 :
The number of balls of radius 1 cm that can be made from a sphere of radius 10 cm will be
Question 22 :
The radii of two right circular cone are in the ratio of 4 : 5 and their slant heights are in the ratio 2 ; 3. Then the ratio of their curved surfaces is
Question 24 :
The cost of painting the curved surface area of a cone at $5\ ps/cm^{2}$ is $Rs 35.20$, find the volume of the cone if its slant height is $25 cm$.
Question 25 :
If the radius of a sphere is doubled what is the ratio of the volume of the first sphere to that of the second?
Question 26 :
If volume and surface area of a sphere are numerically equal then it's radius is
Question 27 :
A right triangle with sides 5 cm 12 cm and 13 cm is revolved about the side 12 cm Find the volume of the cone thus formed
Question 28 :
Two cones $A$ and $B$ have their base $r$ in the ratio of $4:3$ and their heights in the ratio $3:4$ of ratio of volume of cone $A$ to that of cone.
Question 29 :
Radius and slant height of a solid right circular cone are in the ratio $3:5$. If the curved surface area is $60\pi sq.cm$, then find its total surface area.
Question 30 :
The volume of the largest circular cone that can be cut of a cube whose edge is $8$cm is ________.
