Monicaa Abhijit Solutions for Chapter: Mensuration-II (Solid Figures), Exercise 5: REVIEW EXERCISES

What is the standard unit of volume?

A hollow cylindrical pipe open at both ends is made of $2 \mathrm{cm}$ thick iron. If the internal diameter is $50$ and the length of the pipe is $140 \mathrm{cm}$, find the volume of iron in it.

A rectangular sheet of dimensions $33 \mathrm{cm}\times 24 \mathrm{cm}$ is rolled into a cylinder so that the smaller side becomes the height of the cylinder. Find the volume of the cylinder so formed.

Two right circular cylinders of equal volumes have their height in the ratio $4:9$. Find the ratio of their curved surface areas.

Two right circular cylinders of equal heights have their radii in the ratio $2:5$. Find the ratio of their curved surface area and the ratio of their volumes.

A metal sheet $27 \mathrm{cm}$ long, $8 \mathrm{cm}$ broad and $1 \mathrm{cm}$ thick is melted into a cube. Find the difference between the surface areas of the two solids.

A solid cubical block of fine wood costs $₹ 256$ at $₹500 \mathrm{per} {\mathrm{m}}^2$. Find the length of each side and its volume.

A hollow garden roller which is $49 \mathrm{cm}$ wide and has a girth of $176 \mathrm{cm}$ is made of $2 \mathrm{cm}$ thick cast iron. Find the volume of iron and weight of roller if $1 {\mathrm{cm}}^3$ of iron weighs $7.5$ grams.