Question

A cylinder has a diameter of 10 cm and a height of 5 cm. what is the volume of the cylinder? use 3.14 for pi, and round your answer to the nearest hundredth. 1,570 cm3 392.5 cm3 157 cm3 78.5 cm3

Answer 1

The formula for the volume of a cylinder is V = πr²h where r is the radius of the base of the cylinder and h is its height. Since the diameter of the cylinder is 10 cm, its radius is 5 cm. Substituting these values into the formula gives:

V = π(5)²(5) = 78.54 cm³

Rounding to the nearest hundredth gives 78.54 cm³ ≈ 78.5 cm³.

Therefore, the volume of the cylinder is approximately 78.5 cm³.

Explanation:

Answer 2

The volume of the cylinder would be 392.5 cubic centimeters (B)

Explanation:

To find the volume of the cylinder, we will need to use the formula:
V = πr^2h

Since the value of the radius is always equal to r = d/2 we can just divide the diameter by 2. We can then plug in our values from the equation into the formula, so our new formula is now:
V = (3.14)(5)^2(5)
Following the order of opperations EMDAS, we start with exponents:
V = (3.14)(25)(5)

Then we move on to multiplication, going from the left side to the right:

V = (78.5)(5)

V = (392.5)

We now know that the volume of the cylinder is equal to 392.5 cubic centimeters.