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Ugo [173]
2 years ago
7

Which expression represents the volume, in cubic units, of the shaded part of the sphere? four-thirdsπ(103) four-thirdsπ(43) fou

r-thirdsπ(103) – four-thirdsπ(43) four-thirdsπ(203) four-thirdsπ(43) four-thirdsπ(203) – four-thirdsπ(43)
Mathematics
1 answer:
oee [108]2 years ago
6 0

The volume of the shaded part in cubic units is  4/3π(20)³ -  4/3π(4)³

<h3>Volume of composite object</h3>

The sphere is a a solid 3-dimensional object. THe formula for calculating its volume is expressed as:

V = 4/3πr³

where:

r is the radius of the sphere

<u>For the outer sphere:</u>

V = 4/3π(20)³

<u>For the inner sphere:</u>

V = 4/3π(4)³

The volume of the shaded part in cubic units is  4/3π(20)³ -  4/3π(4)³

Learn more on volume of sphere here: brainly.com/question/10171109

#SPJ4

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Mariana [72]

Answer:

a) la altura es de 1.6 metros

b) contendría 3750 litros

Step-by-step explanation:

1000 litros = 1m³

8000 litros = 8000/1000 = 8m³

La formula del volumen de un prisma rectangular es:

v = área de la base * altura

el área de la base es:

ab = 2.5m * 2m = 5m²

entonces:

v = 5 * altura

v = 8m³

así que:

8m³ = 5m²* altura

altura = 8m³/5m²

altura = 1.6 metros

  • Si la altura fuese de 75cm

1 metro = 100 centímetros

75 cms = 75/100 = 0.75 metros

entonces:

volumen = 5m² * 0.75m

volumen = 3.75m³

3.75m³ = 3.75*1000 = 3750 litros

El agua que contendría sería de:

3750 litros

3 0
4 years ago
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Step-by-step explanation:

8 0
3 years ago
Annalisa, Keiko, and Stefan want to compare their heights. Annalisa is 64 inches tall. Stefan tells her, "I'm about 7.5 centimet
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7 0
3 years ago
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What do I’m supposed to do ?
vlabodo [156]

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Step-by-step explanation:

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This soda can is going to be made from aluminum. How many square centimeters of aluminum are needed if the radius r = 3.5 cm and
kari74 [83]

208.81 square centimeters of aluminium are needed

<em><u>Solution:</u></em>

Given that,

Radius = 3.5 cm

Height = 6 cm

We have to find the square centimeters of aluminum needed

So we have to find the surface area of cylinder

<em><u>The surface area of cylinder is given by formula:</u></em>

A = 2 \pi r(h+r)

Where "r" is the radius and "h" is the height of cylinder

<em><u>Substituting the values we get,</u></em>

A  = 2 \times 3.14 \times 3.5 \times (6+3.5)\\\\A = 21.98 \times 9.5\\\\A = 208.81

Thus 208.81 square centimeters of aluminium are needed

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