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Inga [223]
2 years ago
12

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

with a of diameter 52 m
Mathematics
1 answer:
pogonyaev2 years ago
3 0

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

Read more about volumes at:

brainly.com/question/10171109

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BabaBlast [244]

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Answer:

  21 coins of ₹2

Step-by-step explanation:

Let x represent the number of ₹2 coins, and y the number of ₹5 coins. Then the total value of the coins is ...

  2x +5y = 77

and the relationship between numbers of coins is ...

  x = 3y

Substituting for x, we have ...

  2(3y) +5y = 77

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Ram has 21 of the ₹2 coins.

8 0
3 years ago
I need help with this question pls
slamgirl [31]

Answer:

arc length formula :

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Step-by-step explanation:

3 0
3 years ago
Negative four and one third ÷ two and one fifth
3241004551 [841]

The solution to the given expression negative four and one third ÷ two and one fifth is -1 32/33

<h3>Fraction division</h3>

negative four and one third ÷ two and one fifth

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= -13/3 ÷ 11/5

  • Multiply by the reciprocal of 11/5

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= -13/3 × 5/11

= (-13 × 5) / (3 × 11)

= -65 / 33

= -1 32/33

Therefore, the solution to the fraction is -1 32/33

Learn more about fraction:

brainly.com/question/11562149

#SPJ1

5 0
1 year ago
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Answer for x -4x-1=3
nordsb [41]

Answer:

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Step-by-step explanation:

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