what is the volume in cubic inches of a cylinder that has a height of 10 inches abs a radius of 5 inches
Volume of a cylinder
= πr²h
where
π=3.14159...
r=radius of base
h=height of cylinder
To find the volume of a cylinder, you can use the formula:
Volume = π × (radius)² × height.
Given that the height of the cylinder is 10 inches and the radius is 5 inches, we can substitute these values into the formula:
Volume = π × (5 inches)² × 10 inches.
To calculate the volume, we need to square the radius (5 inches), which gives us 25 inches². Then, we multiply this by the height (10 inches), resulting in:
Volume = π × 25 inches² × 10 inches.
The last step is to multiply 25 by 10 to get 250, so the equation becomes:
Volume = π × 250 inches³.
Since π is a constant, you can substitute it with an approximation such as 3.14. Therefore:
Volume ≈ 3.14 × 250 inches³.
Now you can multiply 3.14 by 250 to find the volume:
Volume ≈ 785 inches³.
Therefore, the volume of the cylinder is approximately 785 cubic inches.