Find the area Of each figure. Round to the nearest tenth.

The volume of the cone is 104.7 cubic feet. The volume of the half-sphere is 261.8 cubic feet and the area of the entire figure is 366.5 cubic feet.

Step-by-step explanation:

Step 1:

The figure consists of a cone and a half-sphere on top. We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.

Step 2:

The volume of a cone is determined by multiplying with π, the square of the radius (r²) and height (h).

The radius is 5 feet and the height is 4 feet.

The volume of the cone = cubic feet. Rounding this off, we get 104.7 cubic feet.

Step 3:

The area of a half-sphere is half of a full sphere.

The volume of a sphere is given by multiplying with π and the cube of the radius (r³).

Here the radius is 5 feet.

The volume of a full sphere cubic feet.

Step 4:

The volume of the half-sphere =

The volume of the half-sphere is 261.792 cubic feet. Rounding this off, we get 261.8 cubic feet.

Step 5:

The total volume = The cone's volume + The half sphere's volume,

The total volume cubic feet. By rounding this off to the nearest tenth we get 366.5 cubic feet.

a - base

b - exponent

so,