Question Text
Question 1 :
The total surface area of a solid cylinder is $616$ $cm^2$. If the ratio between its curved surface area and total surface area is $1 : 2$; find the volume of the cylinder.
Question 2 :
A solid cylinder of glass whose diameter is 1.5 m and height 1 m is melted and turned into a sphere The diameter of a sphere is
Question 3 :
A lead ball of radius $24$ cm is melted down and recast into smaller balls of radius $6$ cm. Assuming that no metal is lost in this process, number of complete smaller balls that can be made, is -<br/>
Question 4 :
The ratio of volume of a circular cylinder and right circular cone of the same base and height will be
Question 5 :
The ratio of the radii of two cones having equal height is 2:3 then ratio of their volume is ...................
Question 6 :
The largest sphere is cut off from a cube of side $5cm$. The volume of the sphere will be
Question 7 :
The volume of a right circular cylinder with radius $6$ is $9\pi$. Calculate the height of the cylinder.
Question 8 :
A sphere and the base of a cylinder have equal radii. The diameter of the sphere is equal to the height of the cylinder. The ratio of the curved surface area of the cylinder and surface area of the sphere is .....<br>
Question 9 :
If the volume and the surface area of a solid sphere are numerically equal, then its radius is ____<br/>
Question 10 :
The circumference of the base of a $10m$ high conical tent is $44m$. Calculate the length of the canvas used in making the tent if the width of the canvas is $2m$.