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

Let the radii of the given sphere and the new sphere be r and R, respectively. So, the surface area of the new sphere is 9856 cm2.

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Answer 2

Answer:

The answer to you question is 9856cm^2.

Step-by-step explanation:

$4\pi {r }^{2} = 2464 \\ 4 \binom{22}{7} {r}^{2} = 2464 \\ \binom{88}{7} {r}^{2} = 2464 \\ {r}^{2} = 2464 \times \binom{7}{88} \\ {r}^{2} = 196 \\ r = 14 \\ \\ if \: radius \: is \: doubled \: then = > \\ r = 28 \\ \\ the \: new \: surface \: area \: f \:of \: sphere \: is = > \\ 4\pi {r}^{2} = 4 \times \frac{22}{7} \times 28 \times 28 \\ 4 \times 22 \times 4 \times 28 \\ 16 \times 22 \times 28 = 9856 \\ \\ \\ answer \: is = > 9856$

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