A sphere of clay is shape into a solid cylindrical figure. If the cylindrical figure is to be 5 cm high with a base radius of 4 cm, find the radius of the initial sphere of clay

- hihi

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- Mertsj

\[V _{c}=\pi r^2h \]

- hihi

oh

- hihi

wait

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## More answers

- hihi

What does Vc stand for?

- Mertsj

\[V _{c}=\pi (4)^2(5)=80\pi cm ^{3}\]

- Mertsj

Volume of the cylinder

- hihi

so then the answer would be 3.14X462x5?

- hihi

i mean 3.14X4^2X5

- Mertsj

So the sphere must have had the same volume. But the volume of a sphere is:
\[V=\frac{4}{3}\pi r^3=80\pi\]

- Mertsj

So we need to solve that for the radius of the sphere

- hihi

i tried the method, its just that im not sure what the answer is, thank you for helping and all.

- hihi

its just 3 problems which i dont get, i did the rest on my own.

- Mertsj

We are not done yet. Why did you put in the answer?

- hihi

i didnt put the answer

- Mertsj

3.91 is the answer

- hihi

i got 3.93, are you sure its right?

- Mertsj

It's the 3rd root of 60. I got 3.91

- hihi

thank you so much, i just have 2 more problems then im finished.

- Mertsj

Good for you.

- hihi

Wait can you tell me if i did this right:
Find the volume of a cylinder of height 16 cm and base diameter 40 cm. I got 8038 CM cubed.

- Mertsj

Hand on. I;m on the phone.

- hihi

k

- Mertsj

V= pi (20)^2(16)=20106.19

- hihi

wait so was my answer correct, because i think i did the right way

- Mertsj

Compare it with mine.

- hihi

ok

- Mertsj

Did you use 20 for the radius instead of 40?

- hihi

i added it up and the answer was: 20096 cm

- hihi

i think i might have used it

- Mertsj

There's nothing to add.

- hihi

so this is the answer: 20106.19?

- Mertsj

The question asked for the radius of the sphere.
The radius of the sphere is 3.91 cm

- hihi

hey your back?

- Mertsj

yep

- Mertsj

Just got off the phone.

- hihi

ok so i did this problem by myself, tell me what you think:

- Mertsj

ok

- hihi

Find the volume of an equilateral triangular prism with triangles of side 4 cm and length 10 cm

- hihi

i did area x height to get the answer so:

- Mertsj

So what did you get for the area of the triangle?

- hihi

so i got 12 rounded

- hihi

i really got 11.994 so i rounded to 12, would that be right?

- Mertsj

That seems to big.

- hihi

oh

- hihi

what would the answer be then?

- Mertsj

Here is the triangle:
|dw:1328744624957:dw|

- hihi

ya i did that

- Mertsj

\[A=\frac{1}{2}bh\]

- hihi

so height equals=3.464, then to get area base X height so 3.464X2

- hihi

/2

- Mertsj

\[A=\frac{1}{2}(4)(2\sqrt{3})=4\sqrt{3}=6.93\]

- hihi

oh so the answer is 6.93?

- Mertsj

That is the area of the base. To get the volume, you have to multiply that by the height.

- hihi

ok

- hihi

so the answer is approximately 24?

- Mertsj

10(6.93)=69.3

- hihi

i was wrong?

- Mertsj

|dw:1328744898001:dw|

- Mertsj

See that picture? You have to take the area of the triangle and multiply it by the height of the prism which is 10

- hihi

but i did 6.93x the height, which is 3.464, and i got 24, is that right?

- Mertsj

Do you see that picture?????? The HEIGHT OF THE PRISM IS 10.

- Mertsj

Multiply the AREA OF THE TRIANGLE BY THE HEIGHT OF THE PRISM

- hihi

ok thx

- Mertsj

The height of the prism is 10

- Mertsj

yw

- hihi

|dw:1328745230091:dw|

- hihi

The shaded area of that

- Mertsj

What part is shaded?

- hihi

all of the inside

- Mertsj

|dw:1328745481111:dw|

- Mertsj

Add the two areas together. 120+24 = 144

- hihi

Ok, great, thats what i got

- hihi

|dw:1328745544210:dw|

- hihi

find the area

- Mertsj

|dw:1328745737456:dw|

- Mertsj

Is that a 39 or not?

- hihi

39 and 34 are to big dont you think?

- Mertsj

Yes. What is that number you wrote on the left side of the drawing?

- hihi

oh thats 9

- Mertsj

|dw:1328745967893:dw|

- Mertsj

Is that it?

- hihi

ya i think 7 and 4 are more reasponsible, considering thats what i got as well. Then i did 7X4+2X5, getting 38 m

- hihi

Is that correct?

- hihi

hello?

- Mertsj

That's what I got.

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