Jitender Gupta and Divya Malik Solutions for Exercise 5: CHAPTER EXERCISE

The diameter of the roller $120 \mathrm{cm}$ Long is $84 \mathrm{cm}$. If it takes $500$Complete revolutions to level a playground, then find the cost of levelling at the rate of $30$$\mathrm{paise} \mathrm{per}$${\mathrm{m}}^2$. (Take two digits after the decimal point). Write the answer in rupees.

The pillars of a temple are cylindrically shaped. If each pillar has a circular base of radius $20 \mathrm{cm}$ And height $10 \mathrm{m}$, how much concrete mixture would be required to build $14$ such pillars? Write the answer in metres.

The radius and the slant height of a cone are in the ratio of $4:7$. If its curved surface area is $792 {\mathrm{cm}}^2$,then find the radius.

The height and· base diameter of a conical tent are $16 \mathrm{m}$ and $24 \mathrm{m}$ Respectively. Find the cost.of canvas required to make it at the rate of$₹210 \mathrm{per} {\mathrm{m}}^2$. Write the answer in rupees.

The radius of the base of a cone and the radius of a sphere are the same, each being $8 \mathrm{cm}$. Given that, the volume of these two solids are also the same. Calculate the slant height of the cone (in $\mathrm{cm}$ ).

A cone is filled of water poured into the hemisphere, which is also filled. The radius and height of a cone are $10\mathrm{cm}$ and $20\mathrm{cm}$, respectively. Find the radius of the hemisphere (in $\mathrm{cm}$ ).

How many spherical bullets can be made out of a solid cube of lead whose edge measures $44\mathrm{cm}$, each bullet being $4\mathrm{cm}$ in diameter? [Take$\mathrm{\pi }=\frac{22}{7}$ ]

The rainwater from a roof $22\mathrm{m}\times 20\mathrm{m}$ drain into a conical vessel having diameter of base as $2\mathrm{m}$ and height $3.5\mathrm{m}$. If the vessel is just full, then find the rainfall (in $\mathrm{cm}$ ) .