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What is the volume of a hemisphere with a great circle of 37.7 centimeters?

2 Answers

1 vote

Answer:

904.32

Step-by-step explanation:

It gives you the circumference, so you use that formula to find the radius and plug it into the SA formula.

User Atzmon
by
4.1k points
3 votes

Answer:

The volume of hemisphere is
904.32\ cm^3.

Step-by-step explanation:

It is given that,

Circumference of circle, C = 37.7 cm

We need to find the volume of hemisphere with this great circle.

The formula of the circumference of circle is given by :


C=2\pi r

r is radius


r=(C)/(2\pi)\\\\r=(37.7)/(2\pi)\\\\r=6\ cm

Volume of hemisphere is given by :


V=(4)/(3)\pi r^3\\\\V=(4)/(3)* 3.14* (6)^3\\\\V=904.32\ cm^3

So, the volume of hemisphere is
904.32\ cm^3.

User Yuriy Gavrishov
by
4.8k points