Question

If the total surface area of solid sphere is 98.56cm, then find radius of the sphere.

Answer 1

Heya user,

TSA of a solid sphere = 4πr²

Now, given -->

---> 4πr² = 98.56
==> πr² = 98.56 / 4 = 24.64
==> r² = 24.64 * 7 / 22 = 1.12 * 7 = 7.84
==> r² = 7.84
==> r = plus minus 2.8

But neglecting -2.8 we get the radius of the sphere as +2.8 cm

Answer 2

Hey folk !!

Here's the answer you are looking for

Total surface area of a solid sphere is 4πr²

Here, 4πr² = 98.56 cm²

$4 \times \frac{22}{7} \times {r}^{2} = 98.56 \\ \\ {r}^{2} = \frac{98.56 \times 7}{22 \times 4} \\ \\ {r}^{2} = 7.84 \\ \\ r = \sqrt{7.84} = 2.8$

(neglecting the negative value of r because length can never be negative)


☞Therefore, the radius of the sphere is 2.8cm.



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