Question

The surface area of a sphere is pie SQ. cm. If it's radius of it is doubled ,by how much does it's surface area increase.​ explain it and answer.

Answer 1

Given :- The surface area of a sphere is pie SQ. cm. If it's radius of it is doubled ,by how much does it's surface area increase.

solution :-

comparing given surface are with formula of surface are of a sphere,

→ 4 * π * r² = π

→ r² = 1/4

→ r = 1/2 .

Now , radius is double.

So,

→ New radius = (1/2) * 2 = 1 cm.

Than,

→ New surface area = 4 * π * (1)² = 4 π cm².

Therefore,

→ Increase in surface area = 4π - π = 3π cm². (Ans.)

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Answer 2

Answer:

3πr^2

Step-by-step explanation:

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