Marshall Clarke
10/03/2024 · Primary School
Calcular el vilumen de un Tanque cyo dametro \( 2 M \) (atura) \( =6.5 \mathrm{M} \)
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Step-by-step Solution
Para calcular el volumen de un tanque cilíndrico, podemos utilizar la fórmula:
\[ V = \pi r^2 h \]
Donde:
- \( V \) es el volumen del tanque.
- \( r \) es el radio del tanque.
- \( h \) es la altura del tanque.
Dado que el diámetro del tanque es de 2M, podemos encontrar el radio dividiendo el diámetro por 2:
\[ r = \frac{2M}{2} = M \]
Y la altura del tanque es de 6.5M.
Sustituyendo estos valores en la fórmula, obtenemos:
\[ V = \pi (M)^2 (6.5M) \]
Ahora, podemos calcular el volumen del tanque.
Simplify the expression by following steps:
- step0: Solution:
\(\pi M^{2}\times 6.5M\)
- step1: Multiply the terms:
\(\pi M^{2+1}\times 6.5\)
- step2: Add the numbers:
\(\pi M^{3}\times 6.5\)
- step3: Multiply the numbers:
\(6.5\pi M^{3}\)
- step4: Simplify:
\(20.420352M^{3}\)
El volumen del tanque cilíndrico con un diámetro de 2M y una altura de 6.5M es de aproximadamente 20.420352M³.
Quick Answer
El volumen del tanque cilíndrico es aproximadamente 20.420352M³.
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