Question

find the radius of a sphere whose surface area is 154cm

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Answer 1

GIVEN:

• Surface area of sphere = 154cm

TO FIND:

• The radius of sphere = ?

SOLUTION:

Let r be the radius of sphere.

We know that ,

$\sf \: surface \: area \: = 4\pi {r}^{2} \\ \\ \sf \: 154 {cm}^{2} \: = 4\pi {r}^{2} \\ \\ \sf \: 154 {cm}^{2} \: = 4 \times \frac{22}{7} \times {r}^{2} \\ \\ \sf \: {r}^{2} \: = 154 \times \frac{7}{22 \times 4} {cm}^{2} \\ \\ \sf \: {r}^{2} \: = 12.25 \\ \sf \: r = \sqrt{12.25} \\ \sf \: r \: = 3.5 \\ \\ \boxed{\sf \: the \: radius \: of \: sphere \: = 3.5cm}$

Answer 2

Given,

r=?

Surface area of sphere=154cm²

Surface area of sphere =4πr²

154=4×22/7×r²

154×7/22=4×r²

r²=49/4

r=√49/4

r=7/2

r=3.5cm

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