Question

. The surface area of a sphere is 3844 m². Find the
radius of the sphere.
(1) 41 cm (2) 25 cm (3) 31 cm (4) 33 cm​

Answer 1

Answer:

the radius of sphere is 31cm

Answer 2

$\bf \: \underline{Given }:$ ↴

$\sf \: The \: surface \: area \: of \: the \: sphere \: is \: 3844 \: m ^{2}$

$\bf \: \underline{To \: find} :$ ↴

$\sf \: We \: have \: to \: find \: the \: radius \: of \: the \: circle.$

$\bf \: \underline{\underline{ So, \: Let's \: Start}}$

$\sf \: As \: we \: know \: that,$

$\boxed{ \pink{\sf \: Surface \: area \: of \: the \: sphere = 4 \: π \: r ^{2} }}$

$\sf \: Putting \: the \: values,$

$\sf \implies \ 4 \times π \times r ^{2} \: = \: 3844$

$\sf \implies \: π \times r ^{2} \: = \: \dfrac{3844}{4 }$

$\sf \implies \: \dfrac{22}{7} \times r ^{2} \: = \: 961$

$\sf \implies \: r^{2} = \dfrac{961 \times 7}{22}$

$\sf \implies \: r^{2} = 305.77$

$\sf \implies \: r = \sqrt{305.77}$

$\sf \: \implies \: r = 17.48$

$\underline{ \boxed{ \green{\sf \: So, \: radius \: of \: the \: sphere = 17.48\: cm\: (approx)}}}$