3 years ago

I need help with this problem please

Mathematics

1 answer:

maksim [4K]3 years ago

3 0

Answer:

dang i wish i knew but i dont ,_,

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Calcular el volumen en m3 de la esfera en el que el área de uno de sus círculos maximos es 36pim2

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Answer:

The volume of the sphere is $V=288\pi\ m^3$

Step-by-step explanation:

The question in English is

Calculate the volume in m^3 of the sphere in which the area of one of its maximum circles is 36pi m^2

we know that

The radius of the maximum circle in the sphere is equal to the radius of the sphere

Step 1

Find the radius of the maximum circle

The area of the circle is

$A=\pi r^{2}$

we have

$A=36\pi\ m^2$

substitute and solve for r

$36\pi=\pi r^{2}$

Simplify

$36=r^{2}$

take the square root both sides

$r=6\ m$

Step 2

Find the volume of the sphere

The volume of the sphere is

$V=\frac{4}{3}\pi r^{3}$

substitute the value of r

$V=\frac{4}{3}\pi (6)^{3}$

$V=288\pi\ m^3$

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