SOLUTION: Can anyone help me figure this out? A tennis ball can in the shape of a right circular cylinder holds three balls snugly, if the radius of a tennis ball is 3.5cm, what percentage
Algebra.Com
Question 325212: Can anyone help me figure this out? A tennis ball can in the shape of a right circular cylinder holds three balls snugly, if the radius of a tennis ball is 3.5cm, what percentage of the can is occupied by air?
I know the radius of the ball so I can figure the area of the top and bottom of the cylinder: a = pi r^ so a= 3.14 (3.5)^ = 3.14 x 12.12 = 38.465
I can also figure the area of a sphere for the balls: pi r cubed
3.14(3.5)cubed = 3.14 x 42.875 = 134.6275
for three balls they're taking up 403.8825 space in the can.
I need the height of the can to figure total volume of the can to subtract the amount the balls take up but I'm not sure how to come up with that?
Any help would be appreciated!!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Can anyone help me figure this out? A tennis ball can in the shape of a right circular cylinder holds three balls snugly, if the radius of a tennis ball is 3.5cm, what percentage of the can is occupied by air?
I know the radius of the ball so I can figure the area of the top and bottom of the cylinder: a = pi r^ so a= 3.14 (3.5)^ = 3.14 x 12.12 = 38.465
I can also figure the area of a sphere for the balls: pi r cubed
3.14(3.5)cubed = 3.14 x 42.875 = 134.6275
for three balls they're taking up 403.8825 space in the can.
I need the height of the can to figure total volume of the can to subtract the amount the balls take up but I'm not sure how to come up with that?
Any help would be appreciated!!
-------------
Draw the picture and you will see that the height of the
can is 6(radius of one ball) = 6*3.5 = 21 cm
----
Question: Isn't the volume of a sphere (4/3)pi*r^3??
I don't think you want the area of a sprhere which happens to be 4*pi*r^2
-----
Cheers,
Stan H.
RELATED QUESTIONS
A tennis ball can in the shape of a right circular cylinder
holds three tennis balls... (answered by Fombitz)
A tennis ball can in the shape of a cylinder holds three tennis balls snugly. If the... (answered by Mathtut)
Three tennis balls are tightly packed in a can.(circular cylinder). What fraction of the... (answered by stanbon)
A cylindrical can holds three tennis balls. each ball has a diameter of 6 cm, which is... (answered by josgarithmetic,ikleyn)
Three tennis balls fit snugly inside a cylinder that is 19.5 cm long. what is the volume (answered by richwmiller)
A tennis ball can in the shape of a cylinder with a flat top and bottom of the same... (answered by edjones)
Can you help me on this problem?
Tennis balls are packaged three to a cylindrical can.... (answered by stanbon,MathLover1)
A tennis ball canister (cylinder) holds 3 tennis balls (spheres). Each tennis ball has a... (answered by rfer)
A cylindrical container that holds tennis balls has diameter 3 inches and height of 12... (answered by ankor@dixie-net.com)