Mathematics, 11.10.2019 08:10 ddaaaeeee2960

The surface area of sphere t is 452.16 units squared. the surface area of sphere x is 1808.64 units squared. how many times larger is the radius of sphere x than the radius of sphere t?

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Answer from: laylac45531

the radius of sphere X is 2 times larger than the radius of sphere T

Step-by-step explanation:

Given

Surface area of sphere, T =452.16

Surface area of sphere, X= 1808.64

how many times larger is the radius of sphere X than the radius of sphere T?

Finding radius of both spheres:

Surface area of sphere is given as

A=4πr^2

Now putting value of Ta=452.16 in above formula

452.16=4πrt^2

rt^2=452.16/4π

rt^2=35.98

Taking square root on both sides

rt=5.99

Now putting value of Xa=1808.64 in above formula

1808.64=4πrx^2

rx^2=1808.64/4π

rx^2=143.92

Taking square root on both sides

rx=11.99

Comparing radius of sphere X and the radius of sphere T

rx/rt=11.99/5.99

= 2.00

rx=2(rt)

Hence the radius of sphere X is 2 times larger than the radius of sphere T!

Answer from: shanua

Hello!

The answer is:

The radius of the sphere X is 2 times larger than the radius of the sphere T

Why?

To solve the problem, we need to find the radius of both spheres using the following formula:

$Area=\pi *radius^{2}\\\\radius=\sqrt{ \frac{Area}{\pi }}$

Where,

Area, is the area of the circle.

r, is the radius of the circle.

So,

We are given:

$T_{area}=452.16units^{2}\\X_{area}=1808.64units^{2}$

Now, calculating we have:

For the sphere X,

$X_{radius}=\sqrt{ \frac{X_{area}}{\pi }}=\sqrt{\frac{1808.64units^{2} }{\pi } }\\\\X_{radius}=\sqrt{\frac{1808.64units^{2} }{\pi }}=\sqrt{575.71units^{2} }=23.99units$

For the sphere T,

$T_{radius}=\sqrt{ \frac{T_{area}}{\pi }}=\sqrt{\frac{452.16units^{2} }{\pi } }\\\\X_{radius}=\sqrt{\frac{452.16units^{2} }{\pi }}=\sqrt{143.93units^{2} }=11.99units$

Then, dividing the radius of the X sphere by the T sphere to know the ratio (between their radius), we have:

$ratio=\frac{23.99units}{11.99units}=2$

Hence, we have the radius of the sphere X is 2 times larger than the radius of the sphere T.

Have a nice day!

Answer from: Quest

38+105= 143, 39+104=143, and you will find then adding the numbers on opposite sides, moving inwards yields the answer 138 every time. because of this, you’re going to multiply 138 times the number of pairs, which is 34. therefore, 34*138= 4692(i’m sorry if it’s the wrong numbers, but it’s the right concept)
I’m not sure how to solve these type of problems

I’m not sure how to solve these type of problems

Answer from: Quest

step-by-step explanation:

what are the statements? and what do you mean by "216 2 1 6"?

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