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3 years ago

What is 4,173 in exponential form

Mathematics

1 answer:

Ket [755]3 years ago

7 0

Step-by-step explanation:

$\underline{\begin{array}{c|c|c|c}4&1&7&3\end{array}}\\\begin{array}{c|c|c|c}4&0&0&0\\&1&0&0\\&&7&0\\&&&3\end{array}$

$4,173 = 4,000 + 100 + 70 + 3\\\\=4\times1,000+1\times100+7\times10+3\times1\\\\=4\times10^3+1\times10^2+7\times10^1+3\times10^0$

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3 years ago

Use differentials to estimate the amount of paint needed (in m3) to apply a coat of paint 0.04 cm thick to a hemispherical dome

pogonyaev

The amount of paint is the volume of paint needed.

The amount of paint needed is 0.065312 cubic meters

<h3>How to determine the amount of paint needed</h3>

The volume of a hemisphere is:

$V = \frac 23\pi r^3$

Differentiate the above equation

$V' = 2\pi r^2 r'$

The above equation represents the estimate of the amount of paint needed.

Where:

r represents the radius (r = 52/2 m)
r' represents the thickness (r' = 0.04 cm)

So, we have:

$V' = 2\pi r^2 r'$

$V' = 2 * 3.14 * (52/2\ m)^2 * (0.04cm)$

$V' = 2 * 3.14 * (26\ m)^2 * (0.04cm)$

Express cm as m

$V' = 2 * 3.14 * (26\ m)^2 * (0.0004m)$

$V' = 0.065312 m^3$

Hence, the amount of paint needed is 0.065312 cubic meters