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25 November, 04:17

A soup can has a radius of 4.3 cm and a height of 11.6 cm. What is the volume of the soup can to the nearest tenth of a cubic centimeter

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  1. 25 November, 04:36
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    Volume of a cylinder is:

    V = B H

    where

    H is height of a cylinder

    B is surface area of the base of a cylinder (base has shape of circle):

    B = D^2 pi / 4

    V = D^2 H pi / 4

    H = 4 V / (D^2 pi)

    H = 4 x 342 / (6^2 x pi) = 38 / pi

    If we calculate with value pi = 3.14, then

    H = 38 / pi = 38 / 3.14 = 12.10cm

    If the distance between the shelves is exactly 36 cm, number of soup cans that can be stacked is:

    36 / 12.10 = 2.975

    We need a closest integer (whole number) that is smaller that this result, so the answer is:

    Two cans can be stacked.
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