a cylinder has a diameter of 10 feet and is 2 feet tall. what is the volume of the cylinder? use 3.14 for pi. (1 point.)
To find the volume of a cylinder, we can use the formula:
Volume = π * r^2 * h
Given that the diameter of the cylinder is 10 feet, we can find the radius (r) by dividing the diameter by 2:
r = 10 ft / 2 = 5 ft
The height (h) of the cylinder is given as 2 feet.
Substituting these values into the formula, we get:
Volume = 3.14 * (5 ft)^2 * 2 ft
Simplifying the equation:
Volume = 3.14 * 25 ft^2 * 2 ft
Volume = 157 ft^2 * 2 ft
Volume = 314 ft^3
Therefore, the volume of the given cylinder is 314 cubic feet.
thats not right.
A. 50 cubic feet
B. 78.5 cubic feet
C. 628 cubic feet
D. 157 cubic feet
Apologies for the error. Let's calculate the volume correctly.
The radius of the cylinder is half of the diameter, which is 10 feet / 2 = 5 feet.
Using the formula for the volume of a cylinder, V = π * r^2 * h, we can substitute the values:
V = 3.14 * (5 feet)^2 * 2 feet
V = 3.14 * 25 square feet * 2 feet
V = 3.14 * 50 cubic feet
V ≈ 157 cubic feet
Therefore, the volume of the cylinder is approximately 157 cubic feet. The correct answer choice is D.