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In-s [12.5K]
3 years ago
10

PLEASE help me with this question!! I really need help!

Mathematics
2 answers:
pochemuha3 years ago
6 0
First, use the volume of sphere formula by plugging in the volume into the equation to get the value of r cubed. Then get r by determining the cube root of r cubed. Once you have the value of r, plus that into the surface area of sphere formula to get the surface area of the balloon. Answer: 324pi inches squared (use radian mode on calculator)

alexdok [17]3 years ago
5 0

Answer:

324π in²

Step-by-step explanation:

The surface area of a sphere = 4πr² ( r is the radius )

Calculate r using the volume (V) formula

V = \frac{4}{3}πr³

Here V = 972π , thus

\frac{4}{3}πr³ = 972π ( divide both sides by π )

\frac{4}{3}r³ = 972 ( multiply both sides by 3 to clear the fraction )

4r³ = 2916 ( divide both sides by 4 )

r³ = 729 ( take the cube root of both sides )

r = \sqrt[3]{729} = 9

Thus

surface area = 4π × 9² = 4π × 81 = 324π in²

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660 LOL bro and also next time put like multiplied by a fraction of a second to make it harder.

Step-by-step explanation:

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2 years ago
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3.

Step-by-step explanation:

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2 years ago
Area of a regular polygon with 100 sides and a perimeter of 100 units
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The area is 795.5 sq units.

We first find the apothem, using the formula:
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Since there are 100 sides, all sides are equal and the perimeter is 100, the side length, s, is 1:
a=\frac{1}{2\tan{(\frac{180}{100})}}=15.91

Now we find the area of the polygon.  Since there are 100 sides, there will be 100 equal triangles using the center as a vertex.  The formula for the area of a triangle is A=1/2bh; in this case, b is s, the side length, and h is a, the apothem. This gives us:
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3 years ago
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