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Surface area of sphere radius 1 m

Step by step, with the reason for every step · Spheres and hemispheres · Geometry

Step by step

The question

Question: find the surface area of a sphere (a ball) with radius 1 m.

1 Use the rule

Cut the ball in half.

The flat circle inside has area π × r².

The skin of the ball covers exactly 4 of these circles.

Like the peel of an orange.

π is a special number for circles.

It is about 3.14.

So the surface area is S = 4 × π × r².

S = 4 × π × r2

Now put the numbers in: r = 1.

S = 4 × π × 12

1² means 1 times 1.

That is 1.

12 = 1 × 1 = 1

So S = 4 × π × 1.

S = 4 × π × 1

4 times 1 is 4.

So S = 4π.

We keep π in the answer.

That is the exact answer.

S = 4π m2

2 About how much

To see about how much, put 3.14 for π.

S ≈ 4 × 3.14

4 times 3.14 is 12.56.

So the surface area is about 12.56 m².

S ≈ 12.56 m2

Let's look back.

First: use the rule.

Last: about how much.

Answer
S ≈ 12.56 m2

Your turn

Try this one yourself, then check:

Find the surface area.
Show the answer
S ≈ 50.24 m2

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