M L Aggarwal Solutions for Exercise 6: Multiple Choice Questions

The radii of two cylinders are in the ratio $2:3$ and their heights are in the ratio $5:3$. The ratio of their volumes is

If the ratio of the diameters of the two spheres is $3:5$, then the ratio of their surface areas is

If a solid of one shape is converted to another, then the surface area of the new solid

The volume of the greatest sphere cut off from a circular cylindrical wood of base radius $1 \mathrm{cm}$ and height $6 \mathrm{cm}$ is

The volumes of two spheres are in the ratio $64:27$. The ratio of their surface areas is

If a sphere and a cube have equal surface areas, then the ratio of the diameter of the sphere to the edge of the cube is

If a solid circular cylinder of iron whose diameter is $15 \mathrm{cm}$ and height $10 \mathrm{cm}$ is melted and recast into a sphere, then the radius of the sphere is

A cubical ice cream brick of edge $22 \mathrm{cm}$ is to be distributed among some children by filling ice cream cones of radius $2 \mathrm{cm}$ and height $7 \mathrm{cm}$ upto its brim. The number of children who will get the ice cream cones is