What is the volume of a hemisphere with a radius of 6.5 feet rounded to the nearest 10th of a cubic foot

Answer:574.9ft^3

Step-by-step explanation:

radius (r) = 6.5feet

π=3.14

volume of hemisphere=2/3 x π x r^3

Volume=2/3 x 3.14 x (6.5) ^3

Volume=2/3 x 3.14 x 6.5 x 6.5 x 6.5

Volume = (2x3.14x6.5x6.5x6.5) ➗ 3

Volume=1724.645 ➗ 3

Volume=574.9ft^3

=574.9 ft^3

Step-by-step explanation:

The volume of a sphere is V = 4/3 pi r^3

Take half of that to get a hemisphere

1/2 * V = 1/2 * 4/3 pi r^3

=2/3 pi r^3

So the volume of a hemisphere is

V = 2/3 pi r^3

= 2/3 pi (6.5) ^3

= 2/3 (3.14) * (6.5) ^3

=574.8816667

Rounded to the nearest tenth

=574.9 ft^3