Question

A solid metal cuboid has length 44 cm, width 10 cm and height 5 cm.
The cuboid is melted down and all the metal is used to make a solid cylinder,of height 7 cm.
calculate the radius of the cylinder.
( use pi = 22/7)

Answers

  1. Answer:
    Step-by-step explanation:
    The volume of the cuboid is determined by multiplying the dimensions together:
    V(cuboid) = l * w * h
    44 * 10 * 5 = 2200
    The value above is equivalent to the volume of the cylinder produced.
    This formula determines the volume of the cylinder:  V = πr^2h
    Substitute V for the volume given, which is 2200
    2200 = πr^2h
    Plug in 22/7 for pi and 7 for h
    2200 = 22/7(r^2)7
    2200 = (22/7 * 7)(r^2)
    2200 = 22(r^2)
    100 = r^2
    Solve by taking the square root
    √100 = 10
    The radius should be equal to 10cm.
    To double-check:
    Use the same volume formula
    V = (22/7)*(10^2)(7)
    V = 22*100 = 2200

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  2. The radius of the cylinder is 10 cm.
    Explanation:
    Solid metal cuboid has length 44 cm, width 10 cm and height 5 cm.
    That means, the volume of a metallic cuboid of sides = l × b × h
                                                                                            = 44 x 10 x 5
                                                                                            = 2200 cm³
    The cuboid is melted down and all the metal is used to make a solid cylinder, Therefore the volume remains unchanged.
    Given that, height of the cylinder = 7 cm.
    Volume of cylinder = πr²h = 2200
                                      πr²(7) = 2200
                                     (22/7) r² (7) = 2200
                                      r² = 100 cm²
                                      r = 10 cm
    Therefore, the radius of the cylinder is 10 cm.
    To learn more about this topic,
       
                                                                             

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