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Marat540 [252]
3 years ago
6

A sphere has a surface area of about 999 square millimeters. What is the radius, in millimeters, of the sphere

Mathematics
1 answer:
motikmotik3 years ago
5 0

Given that, a sphere has a surface area of about 999 square millimeters.

Formula to find the surface area of sphere is,

S= 4πr² Where r = radius of the sphere and S= surface area.

Given S= 999 square millimeters.

So, we can write:

4πr² = 999

4 * 3.14 * r² = 999 Since, π = 3.14

12.56 *r² = 999

r^2=\frac{999}{12.56} Divide each sides by 12.56.

r² = 79.53821656

r = √79.53821656 Taking square root to each sides of equation.

r = 8.918420071

So, r = 8.918 Rounded to nearest thousandth.

So, radius of the sphere is 8.918 millimeters.

Hope this helps you!

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Answer:

\angle 1\ and\ \angle 3 are corresponding angles and are congruent to each other.

\angle 8\ and\ \angle 4 are alternate exterior angles and thus congruent to each other.

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Step-by-step explanation:

Given:

Line l\parallel m

Line t is traversal.

By angle properties we can name the angle relationship of given angle pairs.

\angle 1\ and\ \angle 3 are corresponding angles and are congruent to each other.

\angle 8\ and\ \angle 4 are alternate exterior angles and thus congruent to each other.

\angle 2\ and\ \angle 3 are interior angles on the same side, and thus they are supplementary.

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3 years ago
What is the solution to the system of equations -8x + 4y = -2, 2y = 1​
Black_prince [1.1K]

Answer:

Hi! The correct answer is x=1/4+y/2!

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation

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3 years ago
Is 7/10 greater or less than or equal to 2/5?
seraphim [82]

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Greater than.

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5 0
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Read 2 more answers
A pizza chef begins to spin a constant volume of dough to make a pie by spinning and tossing the dough into the air, such that t
Alexxandr [17]

Answer:

a ) dAt/dt  =  50,24 in/min

dh/dt  =  -  0,125 in/min

Step-by-step explanation:

The area of the top is At :

At = π*r²

a)  Tacking derivatives with respect to time:

dAt/dt  =  2* π*r * dr/dt

At   t  =  t₁      r  = 16 in     and  dr/dt =  0,5

Then

dAt/dt  =  2*3,14*16*0,5   in/min

a ) dAt/dt  =  50,24 in/min

b) The volume of the cylinder is:

Vc =  π*r²*h     ( where h is the heigh of the cylinder )

Tacking derivatives with respect to time

dVc/dt  =  2* π*r*h*dr/dt  +  π*r²*dh/dt

But  dVc/dt  = 0  since the volume remains constant, then:

π*r²*dh/dt  = -  2* π*r*h*dr/dt

r*dh/dt  =  -  2*h*dr/dt

dh/dt  = - 2*0,5*2/16  in/min

dh/dt  =  -  0,125 in/min

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3 years ago
Kayla has a piece of blue ribbon that is 18.35 inches long and a piece of
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Answer:

1.85

Step-by-step explanation:

20.2-18.35=1.85

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