Question

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

Answer 1

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

Answer 2

oh

Answer 3

wait

Answer 4

What does Vc stand for?

Answer 5

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

Answer 6

Volume of the cylinder

Answer 7

so then the answer would be 3.14X462x5?

Answer 8

i mean 3.14X4^2X5

Answer 9

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

Answer 10

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

Answer 11

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

Answer 12

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

Answer 13

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

Answer 14

i didnt put the answer

Answer 15

3.91 is the answer

Answer 16

i got 3.93, are you sure its right?

Answer 17

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

Answer 18

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

Answer 19

Good for you.

Answer 20

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.

Answer 21

Hand on. I;m on the phone.

Answer 22

k

Answer 23

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

Answer 24

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

Answer 25

Compare it with mine.

Answer 26

ok

Answer 27

Did you use 20 for the radius instead of 40?

Answer 28

i added it up and the answer was: 20096 cm

Answer 29

i think i might have used it

Answer 30

There's nothing to add.

Answer 31

so this is the answer: 20106.19?

Answer 32

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

Answer 33

hey your back?

Answer 34

yep

Answer 35

Just got off the phone.

Answer 36

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

Answer 37

ok

Answer 38

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

Answer 39

i did area x height to get the answer so:

Answer 40

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

Answer 41

so i got 12 rounded

Answer 42

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

Answer 43

That seems to big.

Answer 44

oh

Answer 45

what would the answer be then?

Answer 46

Here is the triangle: