Question

the surface area of a sphere of diameter 'r' is
​

Answer 1

Answer:

πr^2 is the required answer

Answer 2

SOLUTION

TO DETERMINE

The surface area of a sphere of diameter r

FORMULA TO BE IMPLEMENTED

If radius of a circle is r unit

Then surface area = 4πr² unit²

EVALUATION

Here it is given that the sphere has diameter r

$\displaystyle\sf{ Radius= \frac{r}{2} }$

Hence the surface area of the circle

$\displaystyle\sf{ =4 \times \pi \times { \bigg(\frac{r}{2} \bigg)}^{2} }$

$\displaystyle\sf{ =4 \times \pi \times \frac{ {r}^{2} }{4} }$

$\displaystyle\sf{ =\pi {r}^{2} }$

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