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forsale [732]
2 years ago
15

How can we find out the area of a sphere? explain in brief​

Mathematics
2 answers:
Y_Kistochka [10]2 years ago
8 0

The formula is given by

\\ \rm\hookrightarrow Area=\pi r^2

  • Where r is radius
  • π is usually taken as 3.14
USPshnik [31]2 years ago
6 0

Step-by-step explanation:

Basically the area of sphere is 4πr² where r is radius whose value is distance from centre to the edge of the given sphere whereas π (pi) whose value is 3.14 or 22/7. It is defined as the ratio between circle's circumference and it's diameter. But are you aware about the area of circle?? Actually that is πr². If you notice carefully you'll find that area of sphere is 4 times the area of circle. So, if you're provided with the area of circle you can simply multiply the value with 4 to get the area of sphere. But if not, then simply plugin the value of radius and pi in 4πr² to find out the area of sphere.

But since the formula is almost same then how they're different? Well the difference between a sphere and a circle is because of two-dimensional and three-dimensional shape. A circle is a two-dimensional flat shape figure whereas a sphere is a three-dimensional shape.

Talking about the unit of sphere. The unit we use is always the same as the units of radius i.e. cm or m. Since, it is the square of the radius in the given formula, then the unit is also the square of the units, or cm² or m².

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Find the surface area (in terms of π) of a sphere if its volume is 972 π.
Sholpan [36]

Surface area of sphere is Surface\,\,Area=324\pi

Step-by-step explanation:

We need to find the surface area of the sphere while we are given volume of sphere = 972π

The formula used to find surface area is:

Surface\,\,Area=4\pi r^2

We need to find radius of sphere

We are given Volume = 972π, using this volume we can find radius of sphere

The formula used to find volume is:

Volume=\frac{4}{3}\pi  r^3

Putting values and finding r

972\pi =\frac{4}{3}\pi  r^3

r^3=\frac{972\pi *3}{4\pi } \\r^3=729

Taking cube root on both sides

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

So, Radius of sphere r=9

Now finding surface area:

Surface\,\,Area=4\pi r^2

Surface\,\,Area=4\pi (9)^2

Surface\,\,Area=4\pi 81

Surface\,\,Area=324\pi

So, surface area of sphere is Surface\,\,Area=324\pi

Keywords: Surface area of sphere

Learn more about Surface area of sphere at:

  • brainly.com/question/12613605
  • brainly.com/question/6443737
  • brainly.com/question/12041380

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