a cylindrical container can hold about 1,256 cubic inches of water.the diameter of the cylinder is 10 inches long.approximate the height of the cylinder to the nearest inch.use 3.14 to approximate the value for piA.16B.80C.40D.4
Accepted Solution
A:
Answer: A. 16 inchesStep-by-step explanation:The volume of the cylinder is given by :-[tex]\text{Volume}=\pi r^2h[/tex]Given: Diameter of cylinder = 10 inchesThus, radius of cylinder = [tex]\frac{10}{2}=5\ inches[/tex] Let h be the height of the cylindrical container.Then , The volume of the cylindrical container is given by :-[tex]1256=\pi (5)^2h\\\\\Rightarrow\ h=\frac{1256}{5^2\pi}\\\\\Rightarrow\ h=\frac{1256}{25\times3.14}\\\\\Rightarrow\ h=16}[/tex]Hence, the height of the cylindrical container = 16 inches.