Question

Find the diameter of a cone that has a volume of 104.67 cubic inches and a height of 4 inches. Use 3.14 for pi. (1 point)


4 inches

6 inches

8 inches

10 inches

Answer 1

\[v=πr^{2}\frac{ h }{ 3 }\]

Answer 2

We are given
\[104.67=(3.14)r^{2}\frac{ 4 }{ 3 }\]
solve for r

Answer 3

okay so i got
3.14 x 4/3

Answer 4

Good what does that equal?

Answer 5

1.333333

Answer 6

sooo 4.18=1.33333 r^2

Answer 7

it should have been
104.67=4.186667r^2

Answer 8

ohhh what did i do wrong ?

Answer 9

Multiplied wrong.

Answer 10

ohh i see

Answer 11

Continue to solve for r

Answer 12

Need help?

Answer 13

yes

Answer 14

Rmemeber we do all the subtracting

Subtract 4.186667r^2 from both sides.
104.67−4.186667^r2=4.186667r^2−4.186667r2
−4.186667r2+104.67=0

Subtract 104.67 from both sides.
−4.186667r^2+104.67−104.67=0−104.67
−4.186667r^2=−104.67

Now we have
\[\huge~\rm~\frac{ −4.186667r^2=−104.67 }{ −4.186667 }\]

Answer 15

so I just divide the both ?

Answer 16

Divide both sides

Answer 17

okay give me a sec

Answer 18

okay so i cancelled the other one out but was left with -108.856667 for the other

Answer 19

That's incorrect.
a negative divided by a negative results in a postitive
what is -104.67/−4.186667=?

Answer 20

so 108.856667 r^2 ?

Answer 21

I used a calculator and got
r^2=25.000794

Answer 22

maybe im dividing incorrectly, okay so what do I do now ?

Answer 23

Square root both sides
\[\huge~\rm~\sqrt{r^2 }=\sqrt{25}\]

Answer 24

r=?

Answer 25

i dont know how to find the radius because i confused myself earlier with diameter and stuff

Answer 26

Its basically algerbra. If you know the formula all you do is plug in the given info and isolate the vairble. In this case we need to square root both sides to isolate the "r^2"
So what is the square root of 25?

Answer 27

5

Answer 28

Good so r=5

Radius times 2=diameter
so
5 x 2=?

Answer 29

10

Answer 30

thank you ! So can you check my answer for this ?

Find the height of a square pyramid that has a volume of 32 cubic feet and a base length of 4 feet. (1 point)


2 feet

4 feet

6 feet

8 feet

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i put 6 feet, am i correct ?

Answer 31

Yep that's perfect well done

Answer 32

yay thank you ! If i have any more questions, ill tag you !

Answer 33

haha you're welcome. And alright feel free to do so! :D

Answer 34

I'm glad you learned how to do this! If your'e ever in a quick fix with questions like this google calculator offers solutions to geometry problems. Type in solve for a cone, enter in the data requested and poof theres your answer.