hihi
  • hihi
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
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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Mertsj
  • Mertsj
\[V _{c}=\pi r^2h \]
hihi
  • hihi
oh
hihi
  • hihi
wait

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hihi
  • hihi
What does Vc stand for?
Mertsj
  • Mertsj
\[V _{c}=\pi (4)^2(5)=80\pi cm ^{3}\]
Mertsj
  • Mertsj
Volume of the cylinder
hihi
  • hihi
so then the answer would be 3.14X462x5?
hihi
  • hihi
i mean 3.14X4^2X5
Mertsj
  • 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
  • Mertsj
So we need to solve that for the radius of the sphere
hihi
  • hihi
i tried the method, its just that im not sure what the answer is, thank you for helping and all.
hihi
  • hihi
its just 3 problems which i dont get, i did the rest on my own.
Mertsj
  • Mertsj
We are not done yet. Why did you put in the answer?
hihi
  • hihi
i didnt put the answer
Mertsj
  • Mertsj
3.91 is the answer
hihi
  • hihi
i got 3.93, are you sure its right?
Mertsj
  • Mertsj
It's the 3rd root of 60. I got 3.91
hihi
  • hihi
thank you so much, i just have 2 more problems then im finished.
Mertsj
  • Mertsj
Good for you.
hihi
  • 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
  • Mertsj
Hand on. I;m on the phone.
hihi
  • hihi
k
Mertsj
  • Mertsj
V= pi (20)^2(16)=20106.19
hihi
  • hihi
wait so was my answer correct, because i think i did the right way
Mertsj
  • Mertsj
Compare it with mine.
hihi
  • hihi
ok
Mertsj
  • Mertsj
Did you use 20 for the radius instead of 40?
hihi
  • hihi
i added it up and the answer was: 20096 cm
hihi
  • hihi
i think i might have used it
Mertsj
  • Mertsj
There's nothing to add.
hihi
  • hihi
so this is the answer: 20106.19?
Mertsj
  • Mertsj
The question asked for the radius of the sphere. The radius of the sphere is 3.91 cm
hihi
  • hihi
hey your back?
Mertsj
  • Mertsj
yep
Mertsj
  • Mertsj
Just got off the phone.
hihi
  • hihi
ok so i did this problem by myself, tell me what you think:
Mertsj
  • Mertsj
ok
hihi
  • hihi
Find the volume of an equilateral triangular prism with triangles of side 4 cm and length 10 cm
hihi
  • hihi
i did area x height to get the answer so:
Mertsj
  • Mertsj
So what did you get for the area of the triangle?
hihi
  • hihi
so i got 12 rounded
hihi
  • hihi
i really got 11.994 so i rounded to 12, would that be right?
Mertsj
  • Mertsj
That seems to big.
hihi
  • hihi
oh
hihi
  • hihi
what would the answer be then?
Mertsj
  • Mertsj
Here is the triangle: |dw:1328744624957:dw|
hihi
  • hihi
ya i did that
Mertsj
  • Mertsj
\[A=\frac{1}{2}bh\]
hihi
  • hihi
so height equals=3.464, then to get area base X height so 3.464X2
hihi
  • hihi
/2
Mertsj
  • Mertsj
\[A=\frac{1}{2}(4)(2\sqrt{3})=4\sqrt{3}=6.93\]
hihi
  • hihi
oh so the answer is 6.93?
Mertsj
  • Mertsj
That is the area of the base. To get the volume, you have to multiply that by the height.
hihi
  • hihi
ok
hihi
  • hihi
so the answer is approximately 24?
Mertsj
  • Mertsj
10(6.93)=69.3
hihi
  • hihi
i was wrong?
Mertsj
  • Mertsj
|dw:1328744898001:dw|
Mertsj
  • 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
  • hihi
but i did 6.93x the height, which is 3.464, and i got 24, is that right?
Mertsj
  • Mertsj
Do you see that picture?????? The HEIGHT OF THE PRISM IS 10.
Mertsj
  • Mertsj
Multiply the AREA OF THE TRIANGLE BY THE HEIGHT OF THE PRISM
hihi
  • hihi
ok thx
Mertsj
  • Mertsj
The height of the prism is 10
Mertsj
  • Mertsj
yw
hihi
  • hihi
|dw:1328745230091:dw|
hihi
  • hihi
The shaded area of that
Mertsj
  • Mertsj
What part is shaded?
hihi
  • hihi
all of the inside
Mertsj
  • Mertsj
|dw:1328745481111:dw|
Mertsj
  • Mertsj
Add the two areas together. 120+24 = 144
hihi
  • hihi
Ok, great, thats what i got
hihi
  • hihi
|dw:1328745544210:dw|
hihi
  • hihi
find the area
Mertsj
  • Mertsj
|dw:1328745737456:dw|
Mertsj
  • Mertsj
Is that a 39 or not?
hihi
  • hihi
39 and 34 are to big dont you think?
Mertsj
  • Mertsj
Yes. What is that number you wrote on the left side of the drawing?
hihi
  • hihi
oh thats 9
Mertsj
  • Mertsj
|dw:1328745967893:dw|
Mertsj
  • Mertsj
Is that it?
hihi
  • 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
  • hihi
Is that correct?
hihi
  • hihi
hello?
Mertsj
  • Mertsj
That's what I got.

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