the diameter of a cylindrical water tank is 9 ft, and its height is 11 ft. what is the volume of the tank…
the diameter of a cylindrical water tank is 9 ft, and its height is 11 ft. what is the volume of the tank? use the value 3.14 for π, and round your answer to the nearest whole number. be sure to include the correct unit in your answer.
Answer
Explanation:
Step1: Find the radius
The diameter (d = 9) ft, and the radius (r=\frac{d}{2}). So (r=\frac{9}{2}=4.5) ft.
Step2: Use the formula for the volume of a cylinder
The formula for the volume of a cylinder is (V=\pi r^{2}h). Given (\pi = 3.14), (r = 4.5) ft, and (h=11) ft. Substitute the values into the formula: (V=3.14\times(4.5)^{2}\times11). First, calculate ((4.5)^{2}=4.5\times4.5 = 20.25). Then, (V=3.14\times20.25\times11). (3.14\times20.25=63.585). (V=63.585\times11 = 699.435\approx700) (rounded to the nearest whole number).
Answer:
(700\ \text{ft}^3)