Question

If the volume of a sphere is 179 2/3 cm3, find its radius and surface area.

Answer 1

Hey Friend ✋✋✋

Formula of finding Volume of sphere = 4/3 πr³

$\frac{4}{3}\pi {r}^{3} = 179 \frac{2}{3} \\ \\ \frac{4}{3} \pi {r}^{3} = \frac{539}{3} \\ \\ {r}^{3} = \frac{539 \times 7}{22 \times 4} = 42.875 \\ \\ r = 3.5$


Surface area of sphere = 4πr²

Surface area = 4 × π × ( 3.5 ) ²

$= 4 \times \frac{22}{7} \times 3.5 \times 3.5 \\ \\ = 4 \times 11 \times 3.5 \\ \\ = 154 {cm}^{2}$


Hope it helps

Answer 2

Dear Student,

◆ Answer -

r = 3.5 cm

A = 154 sq.cm

● Explanation -

# Given -

V = 179 2/3 cu.cm = 179.67 cu.cm

# Solution -

Volume of sphere is given by formula -

V = 4/3 πr^3

179.67 = 4/3 × 3.142 × r^3

r^3 = 179.67 / 4.189

r^3 = 42.89

r = 3.5 cm

Now, surcace area of sphere is given by -

A = 4πr^2

A = 4 × 3.142 × 3.5^2

A = 154 sq.cm

Hope this helps...