Use two formulas for volume to find the volume of the figure. Express the answer in terms of x and then round to nearest whole number.

Volume of the figure = 341.3π + 1,280π = 1,621.33π

Volume of the figure to the nearest whole number = 1,621π m³

Step-by-step explanation:

The figure shown is composed of a hemisphere and a cylinder.

The volume of the figure = volume of hemisphere + volume of cylinder

Volume of the hemisphere = ⅔πr³

Radius (r) of hemisphere = 16/2 = 8 m

Volume of hemisphere = ⅔*π*8³ = ⅔*π*512 = 341.33π m³

Volume of Cylinder = πr²h

radius (r) = 16/2 = 8 m

height (h) = 20 m

Volume of cylinder = π*8²*20 = 1,280π m³

Volume of the figure = 341.3π + 1,280π = 1,621.33π

Volume of the figure to the nearest whole number = 1,621π m³

27 + 13x + 15 = (x + 5)( =

step-by-step explanation:

27 + 13x + 15 = (x + 5)( = 27 + 13x + 15 = (x + 5)( = 27 + 13x + 15 = (x + 5)( =