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26 January, 04:43

John buys big ice-cream cylindrical

Jar and sells it for $1. each ice-cream cone.

Each cone has around 30 cubic cm of ice-cream in it.

Jar has diagonal 20 cm. and its height is 3 times of width.

If he sells the whole jar, and He originally bought it for $7 does he make profit out of selling the jar?

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Answers (1)
  1. 26 January, 08:24
    0
    First, determine the dimensions of the jar using the given values. We may use the Pythagorean theorem to determine the unknown values,

    (20 cm) ² = (3W) ² + W²

    The value of W from the equation is approximately 6.32 cm.

    The height is equal to 3W which is 18.97 cm.

    We them determine the volume of the cylinder through the equation,

    V = πr²h

    Substituting the known values,

    V = π (6.32 cm/2) ² (18.97 cm)

    V = 595.10 cm³

    Then, determine the number of ice cream cones by dividing the calculated volume by the volume of each cone.

    n = (595.10 cm³) / (30 cm³) = 19.84 ice cream cones

    or

    n = 19 ice cream cones

    The profit is,

    P = $19 - $7 = $12

    Answer: $12
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