The viewing room at a planetarium is in the shape of a hemisphere. The diameter of the hemisphere is 48 feet. What is the volume

Question

Kazeer [188]

2 years ago

14

The viewing room at a planetarium is in the shape of a hemisphere. The diameter of the hemisphere is 48 feet. What is the volume

of the viewing room?

Mathematics

2 answers:

Setler [38] · Answer 1 · 2022-09-08T04:09:44+03:00

Setler [38]2 years ago

6 0

Answer:

9,216π cubic feet

Step-by-step explanation:

Elis [28] · Answer 2 · 2022-09-08T02:38:30+03:00

A hemisphere is half a sphere.
So, the volume of a hemisphere is the half of the volume of the complete sphere.
The formula for the volume of a sphere is:
V = (4/3) π (radius)^3
Using π = 3.14 and radius = diameter / 2 = 50 feet / 2 = 25 feet.
You get:
V = (4/3) (3.14) (25 feet)^3 = 65,416.7 feet^3
Answer: 65,416.7 cu. ft.