Question

The total surface area of the solid hemisphere is 462 cm². Find the radius of hemisphere.

Answer 1

Answer:

7 is the answer

Step-by-step explanation:

TSA. of hemisphere =3πr2

462= 3(22/7)(r2)

462(7/22)=3(r2)

147=3(r2)

147/3=r2

49=r2

√49=r

r=7cm2

Answer 2

Answer:

Radius of solid Hemisphere is 7 cm.

Step-by-step explanation:

Total surface area of a solid Hemisphere

$\boxed{TSA= 3\pi {r}^{2} \: {unit}^{2}}$

TSA= 462 cm²

$462 = 3\pi \: {r}^{2} \\ \\ {r}^{2} = \frac{462}{3\pi} \\ \\ {r}^{2} = \frac{154 \times 7}{22} \\ \\ {r}^{2} = 49 \\ \\ r = \sqrt{49} \\ \\ r = ± 7$

As we know that radius can not be negative.

So ,radius of solid Hemisphere is 7 cm.

Hope it helps you