Question Text
Question 1 :
A metallic hemisphere is melted and recast in the shape of a cone with the same base radius (R) as that of the hemisphere. If H is the height of the cone, then.
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 :
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 4 :
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 5 :
The radius of a sphere of lead is $8$cm. The number of spheres of radius $5$mm made by melting it will be
Question 6 :
If the circumference of the inner edge of a hemispherical bowl is $\dfrac {132}{7} cm$, then what is its capacity?
Question 7 :
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 8 :
The ratio of the volumes of a cylinder and a cone having equal radii and equal heights is
Question 9 :
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 10 :
How many metres of cloth, $5$m wide, will be required to make a conical tent, the radius of whose base is $7$m and height is $24$m?