Monica Capoor Solutions for Chapter: Mensuration II Surface Area and Volume of Solids, Exercise 1: EXERCISE

Aditya has built a cubical water tank with lid for his house with each outer edge $1.5 \mathrm{m}$ long. He gets the outer surface of the tank excluding the base covered with square tiles of $25 \mathrm{cm}$. If he spends $₹k$ for tiles where the cost of tiles is $₹480$ per dozen, then find the value of $k$ as final answer.

An open water tank $12 \mathrm{m}$ long, $9 \mathrm{m}$ wide and $4 \mathrm{m}$ deep is to be made. The cost of iron sheet required at the rate of $₹25$ per $\mathrm{m}$, if the sheet is $1.5 \mathrm{m}$ wide is $₹k$. Find $k$.

Find the curved surface area and the total surface area of a cylinder whose radius is $3.5 \mathrm{m}$ and the height is $6 \mathrm{m}$.

The area of the curved surface of a cylinder is $4400 {\mathrm{cm}}^2$ and the circumference of its base is $110 \mathrm{cm}$. The height of the cylinder is $k \mathrm{cm}$. Find $k$.

Twenty-one cylindrical pillars of a building have to be cleaned. If the diameter of each pillar is $50 \mathrm{cm}$ and the height is $4 \mathrm{m}$, find the cost (in$₹$) of cleaning them at the rate of $₹1.50$ per ${\mathrm{m}}^2$.

The diameter of a circular well is $4.5 \mathrm{m}$ and its depth is $7 \mathrm{m}$. Find the cost of cementing( in $₹$) the inner curved surface of the well at the rate of $₹3.50$ per ${\mathrm{m}}^2$.

A circular tunnel of diameter $2 \mathrm{m}$ and length $1.4 \mathrm{km}$ is dug out. Find the cost( in $₹$) of plastering it at $₹150$ per $100 {\mathrm{m}}^2$.

A road roller is cylindrical in shape. Its circular end has a diameter $250 \mathrm{cm}$ and its width is $1 \mathrm{m} 40 \mathrm{cm}$. Find the least number of revolutions that the roller must make in order to level a playground $110 \mathrm{m}\times 25 \mathrm{m}$.