What is the volume of a cylinder with a diameter of 40 feet and a height of 23 feet?

What is the volume of a cylinder with a diameter of 40 feet and a height of 23 feet?

• A. 1,444 cu ft
• B. 7,222 cu ft
• C. 28,888 cu ft
• D. 33,221 cu ft

Answer: (C)

Volume of a cylinder is base area times height. The base is a circle, so its area is πr^2. The diameter is 40 ft, giving a radius of 20 ft. So the base area is π(20)^2 = 400π ft². Multiply by the height of 23 ft: V = 400π × 23 = 9,200π ft³. Using π ≈ 3.14 gives V ≈ 28,888 ft³. Therefore the volume is about 28,888 cubic feet (exactly 9,200π ft³, which is ~28,903 ft³ with a more precise π).

Volume of a cylinder is base area times height. The base is a circle, so its area is πr^2. The diameter is 40 ft, giving a radius of 20 ft. So the base area is π(20)^2 = 400π ft². Multiply by the height of 23 ft: V = 400π × 23 = 9,200π ft³. Using π ≈ 3.14 gives V ≈ 28,888 ft³. Therefore the volume is about 28,888 cubic feet (exactly 9,200π ft³, which is ~28,903 ft³ with a more precise π).