Copy the following solution for the volume of a cylinder.
V = πr²h
V = π (5) ² (7)
V = π (25) (7)
V= 549.8 cm
The volume of a cylinder can be calculated using the formula V = πr²h, where V is the volume, r is the radius, and h is the height of the cylinder.
In this specific example, the given values are:
r = 5 cm
h = 7 cm
Substituting these values into the formula, we get:
V = π(5)²(7)
V = π(25)(7)
V = 549.8 cm³
Therefore, the volume of the cylinder is 549.8 cubic centimeters.
To find the volume of a cylinder, you can use the formula V = πr²h. Let's break down the steps used in the solution:
1. Start with the formula for the volume of a cylinder: V = πr²h. This formula involves the radius (r) and the height (h) of the cylinder.
2. Substitute the given values into the formula: r = 5 cm and h = 7 cm.
3. Replace the variables in the formula with these values: V = π(5)²(7).
4. Evaluate the expression within the parentheses: π(5)² = π(25) = 25π.
5. Multiply the result by the height: V = 25π(7) = 175π.
6. If you would like to write the answer in decimal form, you can approximate π as 3.14: V ≈ 175(3.14) = 549.5 cm³.
So, the final answer for the volume of the cylinder is approximately 549.5 cm³.