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wlad13 [49]
2 years ago
12

A stand is a frustum shape, formed by removing a small square-based pyramid from the top of a large square-based pyramid.

Mathematics
1 answer:
Vesnalui [34]2 years ago
7 0

The mass of the stand will be 21165 g.It is found as the product of the density and the mass of the stand.

<h3 /><h3>What is mass?</h3>

Mass is a numerical measure of inertia, which is a basic feature of all matter. It is, in effect, a body of matter's resistance to a change in speed or position caused by the application of a force.

The frustum shape volume is;

\rm V_1= \frac{1}{3} \pi r^2 h \\\\  V_1= \frac{1}{3} \times 10 \times 10 \times 90 \\\\ V_1 = 300  \ cm^3

From the similarity;

\rm \frac{5}{9} =\frac{x}{10} \\\\ x= \frac{50}{9}

The volume of the second section;

\rm V_2 = \frac{1}{3} \times \pi \times x^2 \times h \\\\ V_2 = \frac{1}{3} \times \frac{50}{9} \times \frac{50}{9} \times 5 \\\\\ V_2 = 51 \ cm^3

The volume of the stand is ;

\rm V_3= V_1 - V_2 \\\\ V_3 = 300 \ cm^3 - 51 \ cm^3 \\\\ V_3=249 \ cm^3

Mass of stand = volume of stand × density of the stand

Mass of stand = 249 cm³ × 85 85 g/cm³

Mass of stand = 21165 gm

Hence, the mass of the stand will be 21165 g

To learn more about the mass refer to the link;

brainly.com/question/13073862

#SPJ1

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