Question

The surface area of a sphere is 2464 cm². If its radius be doubled then what will be the surface area of new sphere ?​

Answer 1

✬ Surface Area = 9856 cm² ✬

Step-by-step explanation:

Given:

• Surface area of sphere is 2464 cm².

To Find:

• If radius is doubled then what will be the s.a of new sphere ?

Solution: Let radius of sphere be r cm.

As we know that

★ S.A of Sphere = 4πr² sq units ★

A/q

• Surface area is 2464 cm²

➟ 2464 = 4πr²

➟ 2464 = 4 × 22/7 × r²

➟ 2464 = 88/7 × r²

➟ 2464 × 7/88 = r²

➟ 28 × 7 = r²

➟ √196 = r

➟ 14 cm = r

So radius of original sphere is 14 cm.

Now if we double the radius then new radius will be 14 × 2 = 28 cm.

➮ New s.a = 4πr²

➮ 4 × 22/7 × 28 × 28

➮ 88 × 4 × 28

➮ 9856 cm²

Hence, surface area of new sphere will be 9856 cm².

Answer 2

Answer:

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• Surface area of a sphere = 2464cm²

(Given)

$\green{ \underline{ \boxed{ \sf{ 4πr²}}}}$

$\bigstar\sf$= 2464

• If the radius is doubled,then new radius is 2r

Now,

• Surface area of a sphere with radius 2r = 4π(2r)²

= 4×4πr²

=4×2464

$\pink{ \underline{ \boxed{ \sf{ = 9856cm²}}}}$

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