Math

A jar of peanut butter which is 3 inches in diameter and 4 inches high sells for $0.60. At the same rate, what would be the price for a jar that is 6 inches in diameter and 6 inches high?

  1. 👍 0
  2. 👎 1
  3. 👁 542
  1. V = ( d ^ 2 * pi / 4 ) * h

    V1 = ( 3 ^ 2 * pi / 4 ) * 4 = ( 9 * pi / 4 ) * 4 = 36 * pi / 4

    V2 = ( 6 ^ 2 * pi / 4 ) * 6 = ( 36 * pi / 4 ) * 6 = 216 pi / 4

    V2 / V1 = ( 216 * pi / 4 ) / ( 36 * pi / 4 ) = 216 / 36 = 6

    6 * 0.6 $ = 3.6 $

    1. 👍 0
    2. 👎 0
  2. volume = π(1.5)^2 (4)
    = 9π cubic inches

    volume of new jar π(3^2)(6) = 54π cubic inches
    which is 6 times the original
    So the new one should cost 6(.60) or $3.00

    1. 👍 0
    2. 👎 0
  3. oops , typo

    6 x 60cents = $3.60

    1. 👍 0
    2. 👎 0
  4. Thanks Reiny and Bosian!!!

    1. 👍 0
    2. 👎 0
  5. OR

    V = ( d ^ 2 * pi / 4 ) * h

    V1 = ( 3 ^ 2 * pi / 4 ) * 4 = ( 9 * pi / 4 ) * 4 = 9 pi in ^ 3

    V2 = ( 6 ^ 2 * pi / 4 ) * 6 = ( 36 * pi / 4 ) * 6 = 216 pi / 4 = 54 pi in ^ 3

    V2 / V1 = 54 pi / 9 pi = 54 / 9 = 6

    6 * 0.6 $ = 3.6 $

    1. 👍 0
    2. 👎 1

Respond to this Question

First Name

Your Response

Similar Questions

  1. Geometry

    1.What is the perimeter of a rectangle with width 10 inches in length 13 inches? A.23inches B.36inches C.46inches*** D.130inches 2.What is the area of a triangle with base 19 inches and height 11 inchinches? A.209square inches

  2. Calculus Practice Problems

    A filter filled with liquid is in the shape of a vertex-down cone with a height of 12 inches and a diameter of 18 inches at its open (upper) end. If the liquid drips out the bottom of the filter at the constant rate of 3 cubic

  3. math

    Mia can purchase a 40-ounce jar of peanut butter for $5.20 or a 15-ounce jar for $2.70. How much does Mia save per ounce by buying the 40-ounce jar?

  4. Algebra

    The diameter of bolts produced by a certain machine distributed with a mean of 0.30 inches and a standard deviation of 0.01 inches. What percentage of bolts will have a diameter greater than 0.32 inches.Does your answer make sense

  1. Calculus 1

    A filter filled with liquid is in the shape of a vertex-down cone with a height of 12 inches and a diameter of 18 inches at its open (upper) end. If the liquid drips out the bottom of the filter at the constant rate of 5 cubic

  2. Math

    If the outer diameter of a metal pipe is 2.84 inches and the inner diameter is 1.94 inches, the thickness of the metal is A. 0.45 of an inch B. 0.90 of an inch C. 1.94 inches D. 2.39 inches

  3. Math

    Television sizes are described by the length of their diagonal measure. What would be the listed size of the TV shown? (to the nearest whole inch) A) 31 inches B) 32 inches C) 36 inches D) 42 inches The top portion of the tv is 28

  4. algebra

    Three boxes are stacked one on top of the other. One box is 2 feet 8 inches tall, one is 4 feet 7 inches tall, and one is 3 feet 11 inches tall. How high is the stack? Write your answer in feet and inches. Use a number less than

  1. statistics

    Jim Tree sells trees. The mean length of the trees purchased was 68 inches with a standard deviation of 10 inches. Jim wants to know what percent of his sales were more than 84 inches tall. He can use the standard normal

  2. Math

    Which describes the collection of all points in the same plane that are 8 and 1/2 inches from Point T? circle T with radius 8 and 1/ 2 inches circle T with diameter 8 and 1/2 inches circle T with radius 17 inches a sphere with

  3. Math

    What is the volume of a cereal box that is 2 inches thick, 12 inches high and 10 inches wide?

  4. math

    a peanut butter jar has a height of 5.9in and diameter of 3.6 in. one cubic inch holds 0.45 oz of peanut butter. How many ounces will fit in the jar

You can view more similar questions or ask a new question.