Find the volume of the given cylinder. Round to the nearest tenth.
(Cylinder with radius of 5 cm and height of 8 cm)
-628.3 cm
-523.6 cm
-128.5 cm
-314.2 cm
To find the volume of a cylinder, you can use the formula V = πr²h, where V represents the volume, r represents the radius, and h represents the height.
Given that the radius is 5 cm and the height is 8 cm, we can substitute these values into the formula:
V = π(5 cm)²(8 cm)
First, let's calculate the value of (5 cm)²:
(5 cm)² = 5 cm × 5 cm = 25 cm²
Now, substitute the values back into the formula:
V = π(25 cm²)(8 cm)
To find the approximate volume, you can substitute π with its rounded value, 3.14:
V ≈ 3.14 (25 cm²)(8 cm)
Now, calculate the volume:
V ≈ 3.14 × 25 cm² × 8 cm
V ≈ 628 cm³
Therefore, the volume of the cylinder is approximately 628 cm³. Rounding this to the nearest tenth, the answer is 628.0 cm³.
Therefore, none of the options (-628.3 cm, -523.6 cm, -128.5 cm, -314.2 cm) are the correct answer.
To find the volume of a cylinder, you can use the formula:
V = π * r^2 * h
where V represents the volume, π is a mathematical constant approximately equal to 3.14159, r is the radius of the base of the cylinder, and h is the height of the cylinder.
Plugging in the values from the given cylinder:
radius (r) = 5 cm
height (h) = 8 cm
V = π * (5 cm)^2 * 8 cm
V = π * 25 cm^2 * 8 cm
V = 200π cm^3
Now, to round this volume to the nearest tenth, we can use the value of π rounded to a few decimal places, such as 3.14:
V ≈ 200 * 3.14 cm^3
V ≈ 628 cm^3
Therefore, the volume of the given cylinder, rounded to the nearest tenth, is approximately 628 cm^3.
None of the given options (-628.3 cm, -523.6 cm, -128.5 cm, and -314.2 cm) match the correct answer, so there might be a mistake in the options given.