Mathematics, 14.07.2019 00:30 kenoknox

The sphere area of a sphere is 200.96 square centimeters. what is the approximate volume of the sphere? use 3.14 for pi. round your answer to the nearest hundredth.

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Answer from: zacharyminnick123

We are given

area of sphere is 200.96cm^2

it means that we are given surface area

so, we can use surface area formula

$S=4\pi r^2$

where S is surface area

r is radius

so, firstly we need to find radius or r

$200.96=4\pi r^2$

we can solve for r

r=3.9989cm

now, we can find volume

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

we can plug r

$V=\frac{4}{3} \pi (3.9989)^3$

now, we can find volume

V=267.86cm^3 .............Answer

Answer from: Quest

Ithink the answer is c just trying to others

Answer from: Quest

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.

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The sphere area of a sphere is 200.96 square centimeters. what is the approximate volume of the sphe...

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