What is the volume of a cylinder with a radius of 7 and the height of 9

volume of a cylinder: πr²h

volume = π (7²) (9) = 441π = 1385.44 un² approx.

answer: 1385.44 un² approx.

Answer: 1,384.74 units³

Step-by-step explanation: To find the volume of a cylinder, start with the formula for the volume of a cylinder.

Volume = πr²h

Notice that our cylinder has a radius of 7 units and a height of 9 units so plugging into the formula, we have (π) (7 units) ² (9 units).

Start by simplifying the exponent. 7² is equal to 7 units * 7 units or 49 units² so we have (π) (49) (9). Now, 49 * 9 is 441π units³.

So the volume of the cylinder is 441π units³.

Now, remember that π is approximately equal to 22/7 or 3.14 so we can estimate the value of the volume by plugging in 3.14 for π.

So we have (441) (3.14) which is equal to 1,384.74 units³.

So the value of the volume is approximately 1,384.74 units³.