SOLUTION: The volume of a cylinder is 49pi. Find the radius and height of the cylinder. The radius is 3 times the height. How do i find the radius and height of the cylinder using pi times r
Algebra.Com
Question 131761: The volume of a cylinder is 49pi. Find the radius and height of the cylinder. The radius is 3 times the height. How do i find the radius and height of the cylinder using pi times r^2 times height
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
V=h*pi*r^2
r=3h
h*pi*(3h)^2=49pi
h*(3h)^2=49 the pi's cancel out.
h*9h^2=49
9h^3=49
h^3=49/9
h=(49/9)^(1/3)=1.75921...
r=3*1.75921...=5.27763...
.
Ed
RELATED QUESTIONS
Cylinder A has radius 4 times the radius of cylinder B, and height 4 times the height of... (answered by ikleyn)
The height of a cylinder is 3 times larger than the radius. Find the volume of the... (answered by ewatrrr)
A cylinder has a volume of 32 in^3. If the height of the cylinder is 5 inches more than... (answered by josgarithmetic)
how do I Find the volume of a cylinder with radius 3 inches and height 1 foot. (answered by jim_thompson5910)
two cylinders have the same volume. If the radius of cylinder 1 is 3 times the radius of... (answered by josgarithmetic)
what is the volume of a cylinder with the radius of 3 and the height... (answered by ewatrrr)
what is the volume of a cylinder whose height is 6 and its radius is... (answered by rfer)
if I have the height and volume of a cylinder, how do I find the radius? or... (answered by bucky)
A cylinder with radius 3 inches and height 4 inches has its radius tripled. How many... (answered by Alan3354)