Question

Find the radius of a sphere whose volume is 288 Π cm3. Round to the nearest tenth.

Answer 1

cm^3**

Answer 2

What's the equation for the volume of a sphere?

Rearrange the equation to solve for r instead of V

Answer 3

Find the radius of a sphere whose volume is 288 Π cm^3. Round to the nearest tenth.

Answer 4

\(\bf {\color{brown}{ 288\pi}}\ cm^3\qquad \textit{volume of a sphere}={\color{brown}{ \cfrac{4}{3}\pi r^3}}\qquad thus
\\ \quad \\
288\pi = \cfrac{4}{3}\pi r^3\qquad \textit{solve for }r\)

Answer 5

Okay, give me a minute to solve.

Answer 6

6 cm.

Answer 7

yeap

Answer 8

I need help on a different question.

Answer 9

@jdoe0001 Find the volume of a sphere with a surface area of 324 π in.2

Answer 10

\(\bf 324\pi in^2\qquad \textit{surface area of a sphere}=4\pi r^2
\\ \quad \\
324\pi = 4\pi r^2\qquad \textit{solve for }r\qquad \textit{then use it }\to \cfrac{4}{3}\pi r^3 \iff volume\)

Answer 11

For some reason, I didn't get the right answer.

Answer 12

well... what did you get for "r"?

Answer 13

9

Answer 14

Do I put 9 into this: 9(pi)4/3(pi)r^3?

Answer 15

hmm yeap... is 9... so \(\bf \cfrac{4}{3}\pi r^3\implies \cfrac{4}{3}\pi 9^3\implies 972\pi\approx 3053.6\)

Answer 16

OH okay, I just didn't replace the r for 9.

Answer 17

yes, because the same sphere with that surface area and thus radius, will also have the same radius appled to the volume

Answer 18

I'm going to post another question so I could give you more medals for your help.

Answer 19

tis easier if I dunno someone else may anyhow

Answer 20

If a sphere has a radius 15 m, what is the volume of the hemisphere?