find the volume of a cylinder

Radius 3 Cm
height 6 Cm
Diagonal side 8 Cm

A. 169.56

B. 339.12

C. 678.24

D. 226.08

1 answer

To find the volume of a cylinder, we use the formula:

Volume = π * r^2 * h

where r is the radius and h is the height of the cylinder. The diagonal side mentioned is not directly involved in the calculation of the volume.

Given:
Radius (r) = 3 cm
Height (h) = 6 cm

Now we'll plug the given values into the formula:

Volume = π * (3 cm)^2 * (6 cm)
Volume = π * 9 cm^2 * 6 cm
Volume = π * 54 cm^3

Now we need to calculate the numerical value using π ≈ 3.1416:

Volume ≈ 3.1416 * 54 cm^3
Volume ≈ 169.6464 cm^3

If we round the value to two decimal places, it becomes approximately 169.65 cm^3. None of the given options (A, B, C, D) match this exact value. The closest option is A, which is 169.56 cm^3. However, it's important to note that the actual volume calculated is slightly higher than the closest given option, which suggests a possible typo or miscalculation in the provided choices.