Question

The radius of a hemisphere is R, what is its total surface area?

Answer 1

Answer:

TSA of hemisphere = 2πR² + πR²

                                =3πR²

Answer 2

$\huge\underline{\underline{\mathbb{ANSWER}}}$

$\sf\underline{\purple{\:\:\:\: Given:-\:\:\:\:}}$

Radius of hemisphere=R

We have to find the T.S.A of hemisphere

• Now according to the formula of T.S.A

$\sf\underline{\pink{\:\:\:\:\:A.T.Q\:\:\:\:}}$

$\boxed{\sf{\:T.S.A\:of\: hemisphere=3\pi r{}^{2}}}$

$\sf \bullet T.S.A \:of \:hemisphere\:=\:C.S.A\:of\: hemisphere+Area\:of\:circle\:at\: the\:top$

• Surface Area is always measured in sq.unit

Now T.S.A

$\sf\implies C.S.A=2\pi r{}^{2}\\ \\ \sf Area\:of\: circle=\pi r{}^{2}\\ \\ \sf\implies \:\:\:r=R\\ \\ \sf\implies T.S.A=2\pi R{}^{2}+\pi R{}^{2}\\ \\ \sf\implies T.S.A=3\pi R{}^{2}$

$\boxed{\sf{\blue{\:T.S.A\:of\: hemisphere=3\pi R{}^{2}}}}$