Question

The surface area of a sphere of radius 14cm is:

a.1386sq.cm

b.1400sq.cm

c.2464sq.cm

d.2000sq.cm​

Answer 1

Answer:

616cm2

Step-by-step explanation:

there might be a mistake in the options

Answer 2

$\Large {\underline {\underline {\text {\maltese \ {\red {Solution :-}}}}}}$

Surface Area of the Sphere = (4πr²) sq. units

$\begin {aligned} \red {\bold {Surface\: Area\: of\: the\: Sphere}} & = (4 \times \frac{22}{\cancel 7} \times \cancel {14} \times 14)\ cm^2 \\\\& \Rightarrow (4 \times 22 \times 2 \times 14)\ cm^2 \\\\ & = \red {\bold {2,464\: cm^2}} \end {aligned}$

Hence, The Surface Area of the Given Sphere is 2,464 cm².

∴ Option C is the Right Answer . . .

$\Large {\underline {\underline {\text {\maltese \ {\red {Additional Formulae :-}}}}}}$

For a Solid Sphere of Radius r units, we have -

(i) Volume of the Sphere = $\bold {\Big (\dfrac {4}{3}\pi r^3 \Big )}$ cubic units

(ii) Surface Area of the Sphere = $\bold {(4\pi r^2)}$ cubic units