Surface Area And Volume of Sphere [NEW] — Maths STD 9 — Question
Gujarat BoardEnglish MediumSTD 9MathsSurface Area And Volume of Sphere [NEW]2 Marks
Question
Find the radius of a sphere whose surface area is 154cm2
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Answer
In the given problem, we have to find the radius of a sphere whose surface area is given. Surface area of the sphere (S) = 154cm2 Let the radius of the sphere be rcm Now, we know that surface area of the sphere $=4\pi\text {r}^2$ So, $154=4\Big(\frac{22}{7}\Big)(\text{r})^2$ $\text{r}^2=\frac{(154)(7)}{(4)(22)}$ $\text{r}^2=12.25$ Further, solving for r $\text{r}=\sqrt{12.25}$ $\text{r}=3.5$ Therefore, the radius of the given sphere is 3.5cm.
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