Lesson Example Discussion Quiz: Class Homework |
Step-1 |
Title: Miscellaneous - 2 |
Grade: 7-a Lesson: S1-L10 |
Explanation: |
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
A bicycle wheel makes 5000 revolutions in moving 11km. Find the diameter of the wheel. |
|
2 |
Step |
Total distance covered by bicycle in 5000 revolutions. |
11 km = 11000 m |
3 |
Step |
Distance covered in 1 revolution |
\$\frac{\cancel{11000}}{\cancel{5000}}\$ = \$\frac{11}{5} m\$ |
4 |
Step |
Distance covered in 1 revolution = Circumference of the wheel |
|
5 |
Formula: |
Circumference of a circle. |
\$C = 2\pi r\$ |
6 |
Formula: |
Substitute 2r for d. |
\$C = \pi d \$ |
7 |
Step |
Substitute the values. |
\$\frac{11}{5} = \frac{22}{7} \times d \$ |
8 |
Step |
Multiply. |
\$d = \frac{11}{5} \times \frac{7}{22}\$ |
9 |
Step |
Cancel out common factor. |
\$d = \frac{\cancel{11} ^{1}}{5} \times \frac{7}{\cancel{22} ^{22}}\$ |
10 |
Step |
Multiply. |
\$d = \frac{1}{5} \times \frac{7}{2} \$ |
11 |
Step |
Divide. |
\$d = \frac{7}{10}\$ |
12 |
Step |
Convert into centimeters. |
d = 70 cm |
13 |
Answer |
The diameter of the wheel = 70 cm. |
|
Copyright © 2020-2022 saibook.us Contact: info@saibook.us Version: 1.5 Built: 03-April-2023 7:45 PM EST