Question

Hello.
I have tried this question three times and have gotten three different answers-none of them correct :( Please help! I will post a picture of the question to make it easier.
What I tried: I tried finding the volume of the cone and then inputting that into the equation for the volume of the sphere, then trying to make r the subject.

Answer 1

It is number 6.

Answer 2

hi

Answer 3

the method you are using is correct

Answer 4

what is the formula for volume of a cone?

Answer 5

Hi! The formula I am given is \[Volume= \frac{ 1 }{ 3 }\pi r ^{2}h\]

Answer 6

can you tell me what you got for volume of the cone after substituting r and h

Answer 7

I got 50.064 (rounded off)

Answer 8

ok...that looks fine.

can you tell the formula for volume of a sphere

Answer 9

\[\frac{ 4 }{ 3 }\pi r ^{3}\]

Answer 10

so \[\frac{ 4 }{ 3 }\pi r ^{3}=50.06\]

Answer 11

solve for r
what do you get?

Answer 12

3.46 (again rounded off)

Answer 13

I multiplied by 3, divided by 4, divided by pi and then found the cubed root

Answer 14

yes, the procedure is right, but i seem to get 2.88
do you know what the right answer is?
what value did you use for \(\pi\)?

Answer 15

The answer is supposed to be 2.29 when rounded. I used my calculator value

Answer 16

maybe I press the wrong button? I will try again...

Answer 17

Ah!

Answer 18

I got it...I used the square root not the cubed root on the last step....I am so sorry!

Answer 19

ok, lets do it this way

\[\frac{ 4 }{ 3 } \pi r^3=\frac{1}{3} \pi \times 2.4^2 \times 8.3\]

Answer 20

\(\pi ~and~ 1/3 \) cancel leaving
\[4 r^3= \times 2.4^2 \times 8.3\]

Answer 21

Thank you so much for your help! I really do appreciate it, I am so sorry for wasting your time!

Answer 22

I was pressing the wrong button to get the cubed root and I was getting the squared root instead...

Answer 23

\[r^3= \frac{2.4^2 \times 8.3}{4}\]

Answer 24

oh..ok then :)

Answer 25

:D Thank you!!