Surface Areas And Volumes

To solve the problem, we need to calculate the volume of a right circular cylinder with a base radius of $7%20%5C%2C%20%5Ctext%7Bcm%7D$ and a height of $10%20%5C%2C%20%5Ctext%7Bcm%7D$ , using $%5Cpi%20%3D%20%5Cfrac%7B22%7D%7B7%7D$ .

1. Formula for Volume of a Cylinder:
The volume $V$ of a right circular cylinder is given by:

$V%20%3D%20%5Cpi%20r%5E2%20h$
where $r$ is the radius and $h$ is the height.

2. Substituting the Given Values:
$r%20%3D%207%20%5C%2C%20%5Ctext%7Bcm%7D%2C%20%5Cquad%20h%20%3D%2010%20%5C%2C%20%5Ctext%7Bcm%7D%2C%20%5Cquad%20%5Cpi%20%3D%20%5Cfrac%7B22%7D%7B7%7D$

$V%20%3D%20%5Cfrac%7B22%7D%7B7%7D%20%5Ctimes%207%5E2%20%5Ctimes%2010$

3. Simplifying the Expression:
$V%20%3D%20%5Cfrac%7B22%7D%7B7%7D%20%5Ctimes%2049%20%5Ctimes%2010$
$%3D%20%5Cfrac%7B22%20%5Ctimes%2049%20%5Ctimes%2010%7D%7B7%7D$
$%3D%20%5Cfrac%7B10780%7D%7B7%7D%20%3D%201540%20%5C%2C%20%5Ctext%7Bcm%7D%5E3$

Final Answer:
The volume of the cylinder is $%7B1540%20%5C%2C%20%5Ctext%7Bcm%7D%5E3%7D$ .

High-Yield Trend

Chapter Questions
1 MCQs

Official Solution

Surface Areas And Volumes

High-Yield Trend

Chapter Questions 1 MCQs

Official Solution

Chapter Questions
1 MCQs