Question

find the surface area of sphere if its volume of 38808 cm cube Pi is equal to 22 upon 7

Answer 1

Answer:

Step-by-step explanation:

So (4/3)(22/7)r³=38808

r³=9261=21³

r=21 cm

So surface area of sphere=4(22/7)(r²)

=4×22×3×21=5544cm²

Answer 2

Given :

• Volume of sphere = 38808 cm³

To Find :

• Surface area of sphere

Formula used :

$Volume \: of \: sphere = \frac{3}{4} \pi {r}^{3}$

$Surface \: area \: of \: sphere = 4\pi {r}^{2}$

Solution :

According to the question,

$volume = 38808 \\ \\ \frac{3}{4}\pi {r}^{3} = 38808 \\ \\ {r}^{3} = \frac{38808 \times 4 \times 7}{3 \times 22 } \\ \\ {r}^{3} = {21}^{3} \\ \\ r = 21$

Now,

$surface \: area \: of \: sphere = 4\pi {r}^{2} \\ surface \: area \: of \: sphere = 4 \times \frac{22}{7} \times {21}^{2} \\ surface \: area \: of \: sphere = 5544 \: {cm}^{2}$