Question

If the total surface area of a solid hemisphere is 462 cm2, find its volume.​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Given :

⬤ Total Surface Area of Solid Hemisphere is 462 cm² .

To Find :

⬤ Volume of Solid Hemisphere.

Formula Used :

$\sf[\:{Total\:Surface\:Area\:of\: Hemisphere=3\pi{r}^{2}\:]}$

Solution :

According to the Formula :

462 = 3πr²

462 = 3 × 22/7 × r²

462 × 7 = 3 × 22 × r²

3234 = 66 × r²

3234/66 = r²

49 = r²

√49 = r

7 = r

Therefore , Radius is 7 cm .

Formula Used :

$\sf[\:{Volume\:of\:Hemisphere=\dfrac{2}{3}\pi{r}^{3}\:]}$

Now :

According to the Formula :

2/3πr³

2/3 × 22/7 × 7 × 7 × 7

2/3 × 22 × 7 × 7

44 × 7 × 7/3

2156/3

718.6

Therefore , Volume of Solid Hemisphere is 718.6 cm³ .