The radius of a sphere with surface area frac | vedclass

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Question

(A) The surface area of a sphere is given by the formula $A = 4 \pi r^{2}$.Given $A = \frac{763}{3} \, m^{2}$ and $\pi = 3.14$.Substituting the values

Vedclass · Accepted Answer

$4.5$

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(A) The surface area of a sphere is given by the formula $A = 4 \pi r^{2}$.Given $A = \frac{763}{3} \, m^{2}$ and $\pi = 3.14$.Substituting the values into the formula:$\frac{763}{3} = 4 	imes 3.14 	imes r^{2}$$\frac{763}{3} = 12.56 	imes r^{2}$$r^{2} = \frac{763}{3 	imes 12.56}$$r^{2} = \frac{763}{37.68}$$r^{2} \approx 20.25$Taking the square root of both sides:$r = \sqrt{20.25} = 4.5 \, m$.Thus,the radius of the sphere is $4.5 \, m$.

The radius of a sphere with surface area $\frac{763}{3} \, m^{2}$ is $\ldots \ldots \ldots m$. $(\pi = 3.14)$

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