202k views
2 votes
A sphere has a radius of 9in. the sphere is cut in half. what is the volume of each hemisphere. use 3.14 for pi and round to the hundredths if needed. Show work. PLEASE ANSWER IT

1 Answer

4 votes
The formula for the volume of a sphere is given as:

V = (4/3)πr³

where V is the volume of the sphere, r is the radius, and π is the constant pi (3.14).

To find the volume of each hemisphere, we need to find the volume of the entire sphere and then divide it by 2. The volume of the entire sphere is:

V = (4/3)πr³
V = (4/3)π(9in)³
V = (4/3)π(729in³)
V = 3053.63in³ (rounded to the hundredths)

Now, to find the volume of each hemisphere, we divide this value by 2:

V = 3053.63in³ ÷ 2
V = 1526.82in³ (rounded to the hundredths)

Therefore, the volume of each hemisphere is approximately 1526.82 cubic inches.
User MaxVT
by
8.2k points