Mathematics: The surface area of a sphere is 275.56 1 cm? what is the approximate volume of the sphere? a. 2,287.15 pi cm3 b. 762.38 pi cm3 c. 6,099.06 pi cm3 d. 381.19cm3

The surface area of a sphere is 275.56 1 cm? what - id275561276926, scheyennekreger

yazzyv05

10.03.2022

$V=430.19\ cm^3$ or $V=136.93\pi\ cm^3$

Step-by-step explanation:

The surface area of a sphere is:

$A_s=4\pi r^2$

Where r is the radius of the sphere

In this case we know that $A_s = 275.561\ cm^2$

$4\pi r^2=275.561$

We solve the equation for r

$4\pi r^2=275.561\\r^2 = \frac{275.561}{4\pi}\\\\r=\sqrt{ \frac{275.561}{4\pi}}\\\\r=4.683\ cm$

Now we know the radius of the sphere.

The volume of a sphere is:

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

We substitute the value of the radius in the formula

$V=\frac{4}{3}\pi (4.683)^3$

$V=430.19\ cm^3$

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fardinhaque6113

01.02.2021

$3 {x}^{2} \times 3 {x}^{4} = 36 \\ 9 {x}^{6} = 36 \\ {x}^{6} = 4 \\ \boxed{x = \sqrt[6]{4} }$

is the right answer.

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