Question

Find the volume of the cylinder. Round your answer to the nearest tenth. 15 cm The volume of the cylinder is about cubic centimeters.​

Answer 1

Answer:

Volume (V) ≈ 804.3 cm³

Step-by-step explanation:

Given the diagram of a cylinder with the following dimensions:  

Diameter = 8 cm

Height = 16 cm

We can use the following formula for finding the volume of a cylinder:

Volume (V) = πr²h

Since the formula requires the value of the cylinder's radius, we can derive this value from the given diameter of 8 cm.

• We know that the radius of a circle is half the measure of its diameter.

Thus, the radius of the cylinder is 4 cm.

Substitute the given values for the height and the derived measure of the radius into the following formula for the volume of a cylinder:

Volume (V) = πr²h

Volume (V) = π(4)²(16)

Volume (V) = π(16)(16)

Volume (V) = 256π

Volume (V) ≈ 804.25 cm³ or 804.3 cm³

Therefore, the volume of the given cylinder is approximately 804.25 cm³ or 804.3 cm³.

Answer 2

The volume of the cylinder is approximately 804.3 cm^3