What is the volume of a sphere with a great circle that has an area of 224 pi centimeter squared?

Answers

Answer 1

Answer:

Answer:

The volume of the sphere is 14,043 $cm^(3)$

Step-by-step explanation:

Firstly, in order to answer this question, we need to understand what is meant by the term great circle.

A great circle can be defined as a circle which has the same radius as that of the sphere from which it was formed. This can be pictured using an orange. An orange is a spherical shape and we can cut several circles across the length of the orange. However, not all these circles cut will have same diameter equal to that of the orange. The ones having the same diameter are referred to as great circles.

Since we have established that the sphere and the circle has the same radius/diameter, we can estimate the radius of the sphere from the area of the great circle.

Like all other circles, the great circle has an area which is A = π × $r^(2)$

224 π = π × $r^(2)$

⇒ 224 = $r^(2)$

r = $√(224)$ cm

We can then proceed to calculate the volume of the sphere.

Mathematically, the volume V of a sphere can be calculated by;

V = $(4)/(3)$ × π × $r^(3)$ = 4/3 × π × $(√(224))^(3)$ = 4/3 × π × 224 × √224 = 14,043 $cm^(3)$

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A lamp is on sale and it's price is reduced from $80 to $50. what is the percentage decrease?

Answers

Percentage change =Final value -Initial value / initial value * 100\
= 50 - 80 / 80 * 100
= -30/80 * 100
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In short, Your Answer would be -37.5%

Hope this helps!

What values of x will make x^2 = 16 true ?

Answers

Answer:

x = 4, x = -4

Step-by-step explanation:

In order to solve this equation, we need to square-root bothsides.

$\sf{x^2=16}$

$√(x^2)=√(16)$

Simplify:

$x=4,x=-4$

Answer:

x = -4 or 4

Step-by-step explanation:

⇒ $x^2=16$

⇒ $x = √(16)$

∴ $x =$ ± 4

Therefore, x can be either 4 or -4 such that $x^2=16$ .

Thank You :)

(8 x __) x 7 = 8 x (9 x 7)

Answers

Answer:

the answer in the blank is 9

Step-by-step explanation:

Are there any perfect squares that go into 380?

Answers

I belive the answer is no. Tell me if im doing this wrong, but the square root of 380 is a decimal number.

a women earn $2600 per month and budget $520 per month for food .what is her monthly income is spent on food /

Answers

$2600 per month earning
$520 per month on food

Her monthly income spent on foo is about $520.

Santa can see up to 25 children per hour what is the maximum number of children he can see in 6 hours?

Answers

The required Santa cane sees up to 150 children in 6 hours.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Santa can see up to 25 children per hour,
Now,
The number of children that Santa can see in 6 hours is given as,
= 25 × 6
= 150 children

Thus, the required Santa cane sees up to 150 children in 6 hours.

Learn more about arithmetic here:

brainly.com/question/11424589

#SPJ2

He can see up to 150 because, 25x6 is 150 children.

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