Math

posted by .

Tennis balls withal diameter of 2.5 in. Are sold in cans of three. The can is a cylinder. What is the volume of the space in the can not occupied by tennis balls? Assume the balls touch the on the sides,top and bottom.

  • Math -

    Height of cylinder, h
    = 3 times the diameter of tennis balls
    = 3*2.5"
    = 7.5"
    Diameter of cylinder, d
    = diameter of tennis ball
    = 2.5"
    Volume of cylinder
    = πd²h/4

    Volume of each tennis ball, v
    = 4π(d/2)³/3
    Volume of three tennis balls
    = 3v
    = 4π(d/2)³

    Interstitial space
    = Volume of cylinder - volume of three balls.

  • Math -

    approximately 12.27 in^3

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. economics

    Wilpen Company, a price-setting firm, produces nearly 80 percent of all tennis balls purchased in the United States. Wilpen estimates the U.S. demand for its tennis balls by using the following linear specification; Q = a + bP + cM …
  2. economics

    Wilpen Company, a price-setting firm, produces nearly 80 percent of all tennis balls purchased in the United States. Wilpen estimates the U.S. demand for its tennis balls by using the following linear specification: where Q is the …
  3. Mangerial Economics

    Where Q is the number of cans of tennis balls sold quarterly, P is the wholesale price Wilpen charges for a can of tennis balls, M is the consumers average household income, and Pr is the average price of tennis rackets. The regression …
  4. Geometry

    Three balls are packaged in a cylindrical container. The balls just touch the top, bottom, and sides of the cylinder. The diameter of each ball is 13 cm. a. What is the volume of the cylinder rounded to the nearest cubed centimeter?
  5. Math

    Tennis balls come on cans of 3. The coach needs 50 tennis balls for practice. How many cans should he order?
  6. Math

    A sporting goods store paid $576for a shipment of 8 cartons of tennis balls. There are 12 cans of tennis balls in each carton , with 3 tennis balls in each can. How much did the store pay for each can of tennis balls?
  7. Math

    Maria bought 5 cans of tennis balls. Each can contained 3 tennis balls. How many tennis balls did Maria buy altogether?
  8. MATHS

    A bucket contains 5 green tennis balls, 2 yellow tennis balls, and 6 red tennis balls. Tony removes 3 tennis balls,with replacement, from the bucket shown. What is the probability that the first tennis ball is yellow, the second tennis …
  9. MATH

    Tony has a bucket filled with 10 green, 3 blue, 1 red, and 7 yellow tennis balls. He removes 4 tennis balls from the bucket, without replacement. Which of the following outcomes could represent this selection?
  10. maths

    Tony has a bucket filled with 10 green, 3 blue, 1 red, and 7 yellow tennis balls. He removes 4 tennis balls from the bucket, without replacement. Which of the following outcomes could represent this selection?

More Similar Questions