Clique com o botão direito do mouse, segure e arraste a janela 3d. Olhe a anticlepsidra em diferentes posições. Ela se parece com algum objeto que você conhece?
Sim, ela se parece com uma ampulheta ou com um relógio de água.
Movimente o ponto R para alterar a posição do plano. Compare as medidas das áreas da coroa circular e do círculo. O que você percebe?
Para justificarmos a propriedade anterior, precisamos verificar outra.
Na construção anterior, compare a medida do raio do círculo menor da coroa com a distância de seu centro ao vértice. O que você observa? Altere a posição do ponto R para movimentar o plano. O que você observa?
Utilize a figura seguinte para justificar a propriedade vista anteriormente. Use semelhança de triângulos para mostrar que o raio do círculo menor da coroa (r) é igual a distância de seu centro ao vértice (d). Lembre-se que a altura do cone (R) é igual ao raio da base (R). [br][center][img]data:image/png;base64,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[/img][br]Escreva sua resposta abaixo:[br][/center]
[math]\frac{R}{r}=\frac{R}{d}\longrightarrow r=d[/math]
Desmarque as caixas "Exibir/Esconder" para visualizar melhor as atividades.
Mostramos que as medidas das áreas das secções formadas na anticlepsidra e na esfera são iguais. Como a altura da anticlepsidra é igual ao diâmetro da esfera, então pelo princípio de Cavalieri, possuem volumes iguais. Dessa forma, basta calcular o volume da anticlepsidra. Para isso, precisamos calcular o volume do cilindro e subtrair o volume dos dois cones.
Dessa forma, qual o volume da esfera?
[math]V=\frac{4\pi R^3}{3}[/math]