The volume of the given cylinder is 1,648.5 cubic feet
Step-by-step explanation:
Step 1; The volume of any cylinder is given by π times the product of the square of the radius (r²) and the height (h). The given cylinder has a diameter of 10 feet and a height of 21 feet.
The volume of any cylinder = π × r² × h.
Step 2; The cylinder's diameter is twice its radius. So
Radius = [tex]\frac{diameter}{2}[/tex] = [tex]\frac{10}{2}[/tex] = 5 feet. If we substitute the value of π as 3.14 in the equation to calculate the volume, we get
The volume of the given cylinder = 3.14 × 5² × 21 = 1,648.5 square feet. This is already rounded off to the nearest tenth.
P.S; You substituted diameter instead or radius. You also have to square the radius to determine the volume. pi = 3.14, radius² = 5², height = 21. Volume, V = 3.14 × 5² × 21 = 1,648.5 cubic feet.