Rupesh Pathak and Vaishali Bhatia Solutions for Chapter: Surface Area and Volume, Exercise 4: Exercise 12.2

A talcum powder is available in two packs, a tin can with a square base of side $6 \mathrm{cm}$ and height $10 \mathrm{cm}$ and a tin can of a circular base of radius $3.5 \mathrm{cm}$ and height $12 \mathrm{cm}$. Which of them has greater volume and by how much?

A water tanker is in the shape of a cylinder whose radius is $2 \mathrm{m}$ and length is $14 \mathrm{m}$. How many litres of water can it store? (Hint:$1 {\mathrm{m}}^3=1000 \mathrm{litres}$)

Water is falling in a cylindrical tank from an inlet pipe at the rate of $10 \mathrm{litres}$ per minute. If the diameter and height of the tank are $1 \mathrm{m} \mathrm{and} 7 \mathrm{m}$, respectively, find the time required to fill the tank. 

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

The circumference of the base of a cylindrical vessel is $132 cm$ and its height is $25 cm$. How many litres of water can it hold? $\left[1000 c{m}^3=1 \mathrm{litre}\right]$

A well of diameter $3 m$ is dug $21 m$ deep. The earth taken out of it is spread evenly all around it to a width of $4 m$ to form an embankment. Find the height of the embankment.

A metal pipe has a bore (internal diameter) of $5 cm$. The pipe is $2 mm$ thick all around. Find the volume of a $2 m$ long pipe if $1 c{m}^3$ of the metal has a mass of $7.7 g$.

How many cubical blocks of side $6 cm$ can be cut from a cubical box of thermocol of side $12 dm$?