A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 9 inches. The height of the cone is 18 inches.
Use π = 3.14.
What is the relationship between the volume of this cylinder and this cone? Explain your answer by determining the volume of each and comparing them. Show all your work.
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (sleepyjess):
do you know how to find the volume of the cylinder and cone?
OpenStudy (anonymous):
maybe... @sleepyjess
OpenStudy (sleepyjess):
do you know the formulas?
OpenStudy (anonymous):
\[v = 3.14 r^2 h\]
OpenStudy (tkhunny):
Okay, now look up the cone.
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
it says its a 3-d shape with a flat bottom...
OpenStudy (anonymous):
@sleepyjess
OpenStudy (sleepyjess):
ok you have the formula for the volume of the cylinder, can you find the volume?
OpenStudy (anonymous):
thats what i need help with @sleepyjess
OpenStudy (sleepyjess):
\(v=3.14*r^2*h\) r=diameter/2
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
so about 452
OpenStudy (sleepyjess):
yes
OpenStudy (sleepyjess):
for a cone \(V=3.14*r^2*\dfrac{h}{3}\)
OpenStudy (sleepyjess):
just do the same thing with the cone as you did for the cylinder
OpenStudy (anonymous):
so 1206
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (sleepyjess):
can you show me what you did to get to that?
OpenStudy (anonymous):
i plugged the 8 and 18 into that formula you gave me
OpenStudy (sleepyjess):
remember r=diameter/2
OpenStudy (anonymous):
radius is half of diameter?
OpenStudy (anonymous):
So about 302
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
thanks.. gave you the medal you deserved
OpenStudy (sleepyjess):
it would actually be 301 since the real value is 301.44.