Question

The surface area of a sphere is 196 pi inches squared. How do you find the volume of the hemisphere?

Answer 1

Surface área of a sphere is
SA=4πr^2 so
196π=4πr^2

Answer 2

\(\bf \textit{surface area of a sphere}={\color{brown}{ 4\pi r^2 }}\qquad {\color{brown}{ surface }} =196\pi
\\ \quad \\
thus\qquad 4\pi {\color{blue}{ r}}^2=196\pi \implies {\color{blue}{ r}}=?
\\ \quad \\
\textit{keep in mind that }volume = \cfrac{4}{3}\pi {\color{blue}{ r}}^3\)

Answer 3

so.. find "r" and plug it in the volume formula

Answer 4

r = 6.96419413859?

Answer 5

1414.82008731 divided by 2 is the answer???

Answer 6

Would someone take a moment and explain what a "hemisphere" is? That will affect the outcome of this problem.

Answer 7

hhhmm ohh ... a Hemi's... hmm thought it was the whole thing =)

Answer 8

I know it is half of a sphere, but would dividing the volume by 2 find the volume of the hemisphere?

Answer 9

either way, you'll need to find "r"

Answer 10

tsunekawa yes

Answer 11

Yes: a hemisphere is simply half a sphere. Use this fact as you come up with a solution to this posted problem.

Answer 12

Therefore, the answer is about 707.4?

Answer 13

Oh, thank you

Answer 14

My pleasure!

Answer 15

Wait, but 707.4 is correct?