A right cylinder-shaped vase is filled with decorative colorful sand. The image below displays the dimensions of the vase, and the decorative sand has a density of 1.52 g/cm³. 5 cm 16 cm (a) Is it safe to place the vase on a shelf that can support a maximum weight of 2000 grams? Explain why or why not and show all your work. (b) Would the density of the sand change if the vase was only half full? Explain.

Algebra: Structure And Method, Book 1
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ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
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Chapter12: Quadratic Functions
Section12.6: Solving Problems Involving Quadratic Equations
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A right cylinder-shaped vase is filled with decorative colorful sand. The image below displays the dimensions of
the vase, and the decorative sand has a density of 1.52 g/cm³.
5 cm
16 cm
(a) Is it safe to place the vase on a shelf that can support a maximum weight of 2000 grams? Explain why or
why not and show all your work.
(b) Would the density of the sand change if the vase was only half full? Explain.
Transcribed Image Text:A right cylinder-shaped vase is filled with decorative colorful sand. The image below displays the dimensions of the vase, and the decorative sand has a density of 1.52 g/cm³. 5 cm 16 cm (a) Is it safe to place the vase on a shelf that can support a maximum weight of 2000 grams? Explain why or why not and show all your work. (b) Would the density of the sand change if the vase was only half full? Explain.
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