Question 1 :
A solid cylinder of glass whose diameter is 1.5 m and height 1 m is melted an recasted into a sphere then the radius of the sphere is
Question 2 :
The radii of two spheres are in the ratio 3:5 The ratio of their volumes is
Question 3 :
A cone of semi-vertical angle $\displaystyle \alpha $ is inscribed in a sphere of radius $2$ cm. The height of the cone is 
Question 4 :
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 5 :
The circumference of the base of a cylinder is $132$ cm and its height is $25$ cm The volume of the cylinder is
Question 6 :
Three solid spheres of copper, whose radii are $3$ cm, $4$ cm and $5$ cm respestively are melted into a single solid sphere of radius R. The value of R is
Question 7 :
The ratio of the radii of two cones having equal height is $2:3$, then ratio of their volume is ____________.
Question 8 :
A right triangle with its sides $9\space cm, 12\space cm$ and $15\space cm$ is revolved about the side $12\space cm$. Find the volume of the solid so formed.
Question 9 :
If the base area and the volume of a cone are numerically equal, then its height is 3 units.<br>
Question 10 :
The number of spherical bullets each $0.6$ cm in diameter be made out of a rectangular solid $9$ cm $\times$ $11$ cm $\times 12$ cm is __________.
Question 11 :
Find the volume of the cylinder. Its radius is $3$ ft and height is $6$ ft. (use $\displaystyle \pi =3.14$)
Question 12 :
A rectangular piece of paper is 100 cm x 44 cm A cylinder is formed by rolling the paper along its length then the volume of the cylinder so formed is
Question 13 :
In a hot water heating system,there is a cylindrical pipe of lenght $28$ m and diameter $5$ cm .Find the total radiating surface in the system.
Question 14 :
The radii of two cylinders are in the ratio $2 : 3$ and their heights are in the ratio of $5 : 3$. Theratio of their volumes is
Question 15 :
The radius and the height of a cone are in the ratio $4\,\colon\,3$. The area of the base is $154\;cm^2$. Find the area of the curved surface.
Question 16 :
If a solid cylindrical vessel of base radius 5 cm and height 10 cm be melted into a solid conical vessel of the same base and height, then the number of such cones is
Question 17 :
A soft drink can has a circular base with diameter $7 cm$ and height $12 cm$. A powder tin has a square base with side $7 cm$ and height $12 cm$. What is the difference in their capacities ?
Question 18 :
A solid cylinder has a total surface area of $462$ $\displaystyle cm^{3}$ Its curved surface area is one-third of its total surface area . The volume of the cylinder is :$\displaystyle \left ( \pi =\frac{22}{7} \right )$
Question 19 :
If the volume of a sphere in increases by $72.8 \%$, then its surface area increases by