Question

Question Find volume of a sphere of surface area 154 cm2​

Answer 1

Answer:

Step-by-step explanation:

1 Answer

r2 = 154 x 7/4 x 22 = 72/22 ⇒ r = 7/2.

= 4/3 x 22/7 x 7/2 x 7/2 x 7/2 cm3

= 539/3 cm3 = 179.2/3 cm3

Answer 2

Answer: 539/3 cm³

Step-by-step explanation:

Surface Area of a Sphere = $4\pi r^{2}$ = 154 cm²

$4\pi r^{2}$ = 154 cm²

$4 \times \dfrac{22}{7} \times r^{2} = 154$

$r^{2} = \dfrac{154 \times 7}{22 \times 4}$

$r^{2} = \dfrac{49}{4}$

$r^{2} = \dfrac{7^{2}}{2^{2}}$

$r = \dfrac{7}{2}$

Therefore, the radius of the sphere = 7/2 cm.

Volume of a sphere = $\dfrac{4}{3} \pi r^{3}$

$\dfrac{4}{3} \pi r^{3}$

$= \dfrac{4}{3} \times \dfrac{22}{7} \times \dfrac{7^{3}}{2^{3}}$

$= \dfrac{4}{3} \times \dfrac{22}{7} \times \dfrac{7 \times 7 \times 7}{2 \times 2 \times 2}$

$= \dfrac{11 \times 7 \times 7}{3}$

$= \dfrac{539}{3}$

Therefore, volume of the sphere = 539/3 cm³.