Chhattisgarh Board Solutions for Exercise 6: Exercise – 2

Volume of a cylinder is $3080 {\mathrm{cm}}^3$ and its height $20 \mathrm{cm}$. Find the radius of the cylinder in $\mathrm{cm}$. [Take $\pi =\frac{22}{7}$]

$11 l$ juice is filled in a cylindrical vessel of height $35 \mathrm{cm}$. Find the diameter of the vessel in $\mathrm{cm}$. [Take $\pi =\frac{22}{7}$ and $1 l=1000 {\mathrm{cm}}^3$]

A thin cylindrical tin contains $1 l$ paint. If diameter of the tin is $14 \mathrm{cm}$, then what is the height of the? [Take $\pi =\frac{22}{7}$]

A patient in a hospital is given soup daily in a cylindrical bowl of diameter $7 \mathrm{cm}$. If the bowl is filled with soup to a height of $4 \mathrm{cm}$, how much soup the hospital has to prepare daily to serve to $50$ patients in ${\mathrm{cm}}^3$? [Take $\pi =\frac{22}{7}$]

A $18 \mathrm{m}$ long thin wire is drawn by melting a copper rod of diameter $1 \mathrm{m}$ and length $8 \mathrm{m}$. Calculate the thickness of the wire.

A well has been dug whose radius is $7 \mathrm{m}$ and which is $20 \mathrm{m}$ deep. A $22 \mathrm{m}\times 14 \mathrm{m}$ platform has been constructed from the soil excavated when digging the well. Find the height of the platform in meter. [Take $\pi =\frac{22}{7}$]

How many coins of diameter $1.75 \mathrm{cm}$ and thickness $2 \mathrm{cm}$ can be made by melting down a cuboid of sides $5.5 \mathrm{cm}$, $10 \mathrm{cm}$ and $3.5 \mathrm{cm}$? [Take $\pi =\frac{22}{7}$]

Volume and curved surface area of a cylinder are $24750 {\mathrm{cm}}^3$ and $3300 {\mathrm{cm}}^2$ respectively. Find the height and radius of the base of cylinder.