Q. The volume of this cylinder is 339.12 cubic inches. What is the height? Use π≈3.14 and round your answer to the nearest hundredth.
Volume Formula: We know the volume of a cylinder is given by the formula V=πr2h, where V is volume, r is radius, and h is height. We have V=339.12in3 and r=8in.
Calculate Base Area: First, let's calculate the base area of the cylinder using the formula for the area of a circle, A=πr2. We'll use π≈3.14.A=3.14×82=3.14×64.
Base Area Calculation: Now, calculate the base area: A=3.14×64=200.96 in2.
Find Height: Next, we'll use the volume of the cylinder and the base area to find the height. The formula for the volume is V=A×h, so h=AV.
Height Calculation: Plug in the values to find the height: h=200.96in2339.12in3.