- Trending Categories
- Data Structure
- Networking
- RDBMS
- Operating System
- Java
- MS Excel
- iOS
- HTML
- CSS
- Android
- Python
- C Programming
- C++
- C#
- MongoDB
- MySQL
- Javascript
- PHP
- Physics
- Chemistry
- Biology
- Mathematics
- English
- Economics
- Psychology
- Social Studies
- Fashion Studies
- Legal Studies

- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who

# The diameter of a roller is 72 cm and its length is 120 cm. It takes 200 complete revolutions to move over to level playground. Find the area of the playground.

**Given:**

Diameter of the roller$=72\ cm$

Length of the roller$=120\ cm$.

Number of revolutions taken to level the playground$=200$.**To do:**

We have to find the area of the playground.

**Solution:**

Radius of the roller$=\frac{72}{2}\ cm=36\ cm$.

We know that,

Curved surface area of a cylinder of radius r and height h is $2 \pi rh$.

Therefore,

Area covered in 1 revolution$=$Curved surface area of the roller

Area of the playground$=$Number of revolutions$\times$Curved surface area of the roller

$=200\times2\times3.14\times36\times120\ cm^2$

$=5425920\ cm^2$

$=\frac{5425920}{10000}\ m^2$

$=542.592\ m^2$

**The area of the playground is $542.592\ m^2$.**

- Related Articles
- The diameter of a roller is \( 84 \mathrm{~cm} \) and its length is \( 120 \mathrm{~cm} \). It takes 500 complete revolutions to move once over to level a playground. Find the area of the playground in \( \mathrm{m}^{2} \).
- A road roller takes 750 complete revolutions to move once over to level a road. Find the area of the road if the diameter of a road roller is \( 84 \mathrm{~cm} \) and length is \( 1 \mathrm{~m} \).
- A road has a diameter $0.7\ m$ and its width is $1.2\ m$. Find the least number of revolutions that the roller must take in order to level a playground of size $120\ m\times 44\ m$.
- The area of a square playground is 256.6404 square metres. Find the length of one side of the playground.
- The length of a pencil is 18 cm and its radius is 4 cm. Find the ratio of its length to its diameter.
- Find the length of a side of a square playground whose area is equal to the area of a rectangular field of dimensions 72 m and 338 m.
- The diameter of roller $1.5\ m$ long is $84\ cm$. If it takes $100$ revolutions to level a play¬ground, find the cost of levelling this ground at the rate of $50$ paise per square metre.
- Find the area of a triangle whose sides are respectively $150\ cm, 120\ cm$ and $200\ cm$.
- The area of a rhombus is $72\ cm^2$ . If its perimeter is $32\ cm$, find its altitude.
- The area of a rhombus is $72\ cm^ 2$ . If its perimeter is $36\ cm$, then find its altitude.
- A roller has a diameter of 0.5 m and a length of 1.5 m. Find the number of revolutions to cover the area of 264 sq.m.
- The diameter of a sphere is $6\ cm$. It is melted and drawn into a wire of diameter $0.2\ cm$. Find the length of the wire.
- If the perimeter of rectangle is 120 cm and it's length is 40 cm. Find the breadth of rectangle?
- Length of a pencil is 18 cm and its diameter is 8 mm what is the ratio of the diameter of the pencil of that of its length ?
- Diameter of the base of a cone is \( 10.5 \mathrm{~cm} \) and its slant height is \( 10 \mathrm{~cm} \). Find its curved surface area.

Advertisements