Ask questions and get helpful responses.
Ask a New Question
  1. Questions

algebra

The most economical tin can to manufacture is one that is a right circular with height equal to twice the radius. one such can has a volume of 54 pi cm cubed. what is the total surface area of this can in cm squared?

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩
Mackenzie

  1. Vol =pi(r^2)(2r) = 54pi
    so 2r^3pi = 54pi
    r^3 = 27
    r = 3

    the surface area is made up of 2 circles plus a rectangle with height 2r and length 2pir
    rectangle = 2pi(r)(2r) = 4pi(r^2)
    the 2 cirlces have area of 2pi(r^2)
    so the total area = 6p(r^2)
    = 6pi(9) = 54pi cm^2

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
    Reiny

Respond to this Question

First Name

Your Response

Similar Questions

  1. Maths

    A cylindrical tin full of engine oil has a diameter of 12cm and a height of 14cm. The oil is poured into a rectangular tin 16cm long and 11cm wide. What is the depth of the oil in the tin?

  2. Mathematics

    A cylindrical iron rod 8cm height and 6cm in diameter stands in a cylindrical tin 12cm in diameter water is poured into the tin unfit it's depth is 8cm how far until the level drop when the rod is removed

  3. Calculus

    Gravel is being dumped from a conveyor belt at a rate of 10 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always equal. How fast is the height of the pile

  4. Calculus (Math 2A)

    Gravel is being dumped from a conveyor belt at a rate of 20 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always the same. How fast is the height of the pile

  1. Math

    Gravel is being dumped from a conveyor belt at a rate of 50 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always the same. How fast is the height of the pile

  2. Maths

    A closed tin is in the shape of a cylinder of diameter 10cm and height 15cm. Use the value 3.14 for pier to find A.the total surface area B.the value of the tin to the r=nearest 10naira,if tin plate cost #4500 per m2

  3. Maths

    A conoical funnel 12cm deep and 15cm in diameter is full of liquid.it is emptied into a cylindrical tin 10cm in diameter.calculate the height of the liquid in the tin

  4. Maths

    A closed tin of milk has a diameter of 10 cm and height 16 cm , find the total surface area of the tin {take pie to be 22/7}

  1. Mathematics

    A closed tin of milk has diameter 10cm and height 16cm find the total surface area of the tin( take pie to be 22/7

  2. Chemistry

    calculate % tin by weight in tin oxide. SnO2. 78.77%?

  3. maths

    A closed tin is in the shape of a cylinder of diameter 10cm and height 15cm.Use the value 3.14 for pier to find: a)the total surface area of the tin, b)the value of the tin to the nearest naira if tin plate costs 450 per m2.

  4. chemistry

    Tin metal is heated with oxygen gas to yield tin(IV) oxide. Express your answer as a chemical equation. Identify all of the phases in your answer

Still need help? You can ask a new question.