Question

If a sphere is cut into two hemispheres whose total surface area is 90 cm², then what is the surface area of sphere?​

Answer 1

Answer:

120 cm^2

Step-by-step explanation:

TSA of hemisphere= 3$\pi$r^2=90

$\pi$r^2=30

Surface area of sphere= 4$\pi$r^2

=4*($\pi$r^2)

=4*30

=120 cm^2

Answer 2

The surface area of a sphere will be "120 cm²".

Step-by-step explanation:

$Given:\\The \ total \ surface \ area=90 \ cm^{2}\\As \ we \ know,\\TSA =3\pi r^{2}\\90=3\pi r^{2}\\ \pi r^{2}=\frac{90}{3}\\\pi r^{2}=30\\Now,\\The \ surface \ area \ of \ a \ sphere=4\pi r^{2}\\On \ putting \ the \ values \ in \ the \ above \ formula,we \ get\\SA=4\times30\\SA=120 \ cm^2$

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