Unidades de medida de Volume & Cilindros

Assista!

de Pi ao cilindro

[b]O Valor de Pi:[/b][br][b][i]Pi (π)[/i][/b] é uma constante matemática que representa a relação entre a circunferência de um círculo e seu diâmetro. É aproximadamente igual a [math]3,14159...[/math], mas sua representação decimal é infinita e não periódica, o que significa que seus dígitos não se repetem em um padrão específico.[br][br][b]Fórmula da Circunferência:[/b][br]A circunferência de um círculo pode ser calculada usando a fórmula:[br][math]C=2\pi r[/math][br]onde [b][i]C[/i][/b] é a circunferência e [b][i]r[/i][/b] é o raio do círculo. Aqui, [math]2\pi r[/math] representa o comprimento da circunferência para um dado raio.[br][br][b]Área do Círculo:[/b][br]A área [b][i]A[/i][/b] de um círculo é calculada por:[br][math]A=2\pi r^2[/math][br]onde [b][i]r[/i][/b] é o raio do círculo. Essa fórmula expressa a quantidade de espaço dentro dos limites do círculo.[br][br][b]Volume de um Cilindro:[/b][br]O volume[b][i] V [/i][/b]de um cilindro, que é formado por um círculo de base e uma altura[b][i] h[/i][/b], pode ser determinado por:[br][math]V=\pi r^2h[/math][br]Nesta equação, [b][i]r[/i][/b] é o raio da base do cilindro e [b][i]h[/i][/b] é sua altura. Essa fórmula é essencial para calcular o espaço tridimensional que o cilindro ocupa.[br][br]Esses conceitos são fundamentais em geometria e têm aplicações práticas em diversas áreas, como engenharia, física e matemática aplicada.

Valor de Pi

Valor da circunferência

Volume do cilindro (Área da base x altura)

Resumo com mapa mental

Elementos de um cilindro

Quais são os elementos do cilindro?[img width=700,height=400]https://static.mundoeducacao.uol.com.br/mundoeducacao/2022/11/1-elementos-cilindros-reto-obliquo.jpg[/img]Elementos de um cilindro reto e de um cilindro oblíquo.[br][list][*]Bases: as bases do cilindro são os dois círculos presentes na superfície do cilindro, um na parte superior e outro na parte inferior.[/*][*]Altura: a altura do cilindro é a distância entre os planos que contêm suas bases.[/*][*]Geratriz: geratriz do cilindro é a medida de um segmento com extremidades nas circunferências das bases e paralelo ao eixo central (que liga os centros das bases).[/*][/list]Classificação dos cilindros [img width=700,height=450]https://static.mundoeducacao.uol.com.br/mundoeducacao/2022/11/cilindros-reto-obliquo.jpg[/img][br][br]Cilindro reto e cilindro oblíquo, respectivamente.[br][list][*]Cilindro reto (ou cilindro de revolução): se a geratriz de um cilindro é perpendicular aos planos das bases, o cilindro é classificado como reto ou de revolução, pois resulta da revolução de um [url=https://mundoeducacao.uol.com.br/matematica/retangulos.htm]retângulo[/url]. No cilindro reto, a altura e a geratriz possuem a mesma medida.[/*][/list][img width=600,height=403]https://static.mundoeducacao.uol.com.br/mundoeducacao/2022/11/revolucao-retangulo-cilindro-reto.jpg[/img][br]Revolução de um retângulo na formação do cilindro reto.[br][br][list][*]Cilindro oblíquo: se a geratriz de um cilindro não é perpendicular aos planos das bases, o cilindro é classificado como oblíquo. Nesse caso, a altura e a geratriz têm medidas diferentes.[/*][/list]Fórmula do cilindro[br]Conhecendo os elementos de um cilindro, podemos encontrar as medidas de sua área e volume. Para isso, é conveniente utilizar algumas fórmulas. Vejamos como obter cada expressão.[br]→ Áreas do cilindro[br] O cilindro possui duas regiões circulares nas bases e uma região lateral, que, no caso do cilindro reto, pode ser interpretada como um “retângulo enrolado”. Assim, os cálculos das [url=https://mundoeducacao.uol.com.br/matematica/area-cilindro.htm]áreas do cilindro[/url] estão relacionados com essas figuras.[br][br]○ Área da base[br]Como a base de um cilindro é um círculo, podemos calcular sua área pela fórmula da [url=https://mundoeducacao.uol.com.br/matematica/area-circulo.htm]área do círculo[/url]:[br][math]A_{base}=2\pi r^2[/math][br][list][*]r → raio do círculo (raio da base).[/*][/list]

1) Seja um cilindro de 20 cm de altura e raio da base de 5 cm. Calcule o volume do cilindro.

1570 cm² 1570 cm³ 628 cm³ 314 cm²

2) Uma lata de óleo tem uma base de 8 cm de diâmetro e 19 cm de altura.

955,04 cm 955,04 cm³ 955,04 cm² 955,04 L

Unidades de medida e unidades de medida de capacidade

As medidas de capacidade representam as unidades usadas para definir o volume no interior de um recipiente. A principal unidade de medida da capacidade é o litro (L).[br]O litro representa a capacidade de um cubo de aresta igual a 1 dm. Como o volume de um cubo é igual a medida da aresta elevada ao cubo, temos então a seguinte relação:[br]1 L = 1 dm3[br][img width=630,height=507]https://static.todamateria.com.br/upload/ca/ix/caixadeleite1.jpg[/img][br]Mudança de UnidadesO litro é a unidade fundamental de capacidade. Entretanto, também é usado o quilolitro(kL), hectolitro(hL) e decalitro que são seus múltiplos e o decilitro, centilitro e o mililitro que são os submúltiplos.[br]Como o sistema padrão de capacidade é decimal, as transformações entre os múltiplos e submúltiplos são feitas multiplicando-se ou dividindo-se por 10.[br]Para transformar de uma unidade de capacidade para outra, podemos utilizar a tabela abaixo:[br][img width=630,height=247]https://static.todamateria.com.br/upload/ta/be/tabelalitro.jpg[/img]

Medida de Volume

As medidas de volume representam o espaço ocupado por um corpo. Desta forma, podemos muitas vezes conhecer a capacidade de um determinado corpo conhecendo seu volume.[br]A [url=https://www.todamateria.com.br/unidades-de-medida/]unidade de medida[/url] padrão de volume é o metro cúbico (m3), sendo ainda utilizados seus múltiplos (km3, hm3 e dam3) e submúltiplos (dm3,cm3 e mm3).[br]Em algumas situações é necessário transformar a unidade de medida de volume para uma unidade de medida de capacidade ou vice-versa. Nestes casos, podemos utilizar as seguintes relações:[br][list][*]1 m3 = 1 000 L[/*][*]1 dm3 = 1 L[/*][*]1 cm3 = 1 mL[/*][/list]

3) Volume da piscina

A piscina, representada na imagem abaixo, possui as seguintes dimensões: 7 m de comprimento, 4 m de comprimento e 1,5 m de altura. Quantos litros de água serão necessários para que a esta piscina fique completamente cheia?[br][img width=630,height=371]https://static.todamateria.com.br/upload/sw/im/swimmingpool.jpg[/img]

4) Uma garrafa térmica com capacidade de 1,5 l (litros) será utilizada para servir café aos participantes de uma reunião. A bebida será servida em xícaras de 60 ml (mililitros). Determine a quantidade de xícaras que poderão ser servidas.

5) Uma piscina com a forma de paralelepípedo possui 30 m³ (metros cúbicos) de volume. As medidas de comprimento, largura e altura da piscina são, em metros, 5 m, 3 m e 2 m, nesta ordem. O volume da piscina em decímetros cúbicos é de:

6) transforme 57 dm³ (decímetros cúbicos) em cm³ (centímetros cúbicos).

Observando a tabela de múltiplos e submúltiplos do m³ (metro cúbico), verificamos que o centímetro cúbico está uma coluna à direita. Assim, avançamos com a vírgula três "casas" para a direita.[br]Múltiplos Medida base Submúltiplos.[br][img]data:image/jpeg;base64,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[/img][br]Na prática, a cada coluna à direita, multiplicamos por 1 000.

Assista para responder a questão 7

Análise da das medidas

Para encontrar as medidas reais do personagem Jerry, do desenho "Tom e Jerry", e comparar essas dimensões com objetos do mundo real, como uma caneta e uma piscina, precisamos fazer algumas estimativas baseadas em observações dos episódios.[br]Estimando as Medidas do Jerry Vamos assumir que Jerry é um rato comum, cujas dimensões com comparação com uma caneta esferográfica típica tem as seguintes dimensões:[br][img]https://www.geogebra.org/resource/mwgwayam/sF8IdihFXSLpHA97/material-mwgwayam.png[/img]Análise da altura de Jerry[br] Usando uma régua, podemos comparar a altura de Jerry (10 cm) com o comprimento de uma caneta (12 cm). [br][br][img]https://www.geogebra.org/resource/xy83qfdp/tlbWMQfczZu5mYQH/material-xy83qfdp.png[/img]Análise da altura da piscina e das marcações laterais [br]Dimensões de uma Piscina[br]Agora, vamos considerar uma piscina retangular padrão para a comparação. Suponhamos que Jerry aparece próximo a uma piscina em um dos episódios, e estimamos que ele tenha 10 cm de comprimento.[br]Vamos considerar uma piscina de dimensões típicas:[br][list][*]Comprimento[/*][*]Largura[/*][*]Profundidade média[/*][/list]Com essas medidas, podemos calcular o volume de água da piscina.[br][img]https://www.geogebra.org/resource/mukypwm8/HTX1kIxzXso8MNu0/material-mukypwm8.png[/img]Marcações laterais [br]Observando as marcações da bandeira e criando uma projeção podemos aproximas das medidas[br][img]https://www.geogebra.org/resource/ukqem4jx/8IkG7HJ9be5swAya/material-ukqem4jx.png[/img]Projeções das laterais

7) Sabendo as dimensões da piscina, qual volume de água em litros?

108575 L 1058,75 L 1058 L 1,05875 L 105,875 L

8) Duas latas personalizadas foram projetadas com dimensões diferentes. A primeira lata tem formato cilíndrico, com um diâmetro de 10 cm e altura de 12,5 cm. A segunda lata também é cilíndrica, porém com um diâmetro de 8 cm e altura de 14 cm. Para determ

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[/img][img]data:image/png;base64,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[/img][br]Qual das duas latas tem o maior volume? [br]Justifique sua resposta apresentando:[br][br]a) Calcule o volume da primeira lata.[br][br]b) Calcule o volume da segunda lata.[br][br]c) Qual das duas latas tem o maior volume?