Question

surface area of sphere is 2826 cm square then find its volume​

Answer 1

Answer:

$\large\boxed{\sf{v = 15138.725 \: {cm}^{3} }}$

Step-by-step explanation:

Surface area of sphere = 2826 cm sq.

$= > 4\pi {r}^{2} = 2826 \\ \\ = > {r}^{2} = \frac{2826}{4\pi} \\ \\ = > {r}^{2} = \frac{2826}{4 \times 3.14} \\ \\ = > {r}^{2} = \frac{2826 \times 100}{ 4 \times 314} \\ \\ = > {r}^{2} = \frac{9 \times 100}{4} \\ \\ = > {r}^{2} = {( \frac{3 \times 10}{2} )}^{2} \\ \\ = > r = \frac{30}{2} \\ \\ = > r = 15 \: cm$

Now, Volume will be equal to,

$v = \frac{4}{3} \times \pi \times {(15)}^{3} \\ \\ = > v = 1 .33 \times 3.14 \times 3625 \\ \\ = > \sf{v = 15138.725 \: {cm}^{3} }$