Question

my math homework in khan due at 11 pm

Answer 1

Given :-

• figure is a sphere
• π = 3.14
• Radius = 7 (unit)
• answer should be in unit³

To find :-

• As we know answer should have unit³ so we get to know we have to find volume of sphere.

Solution :-

we know:

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

So:-

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

$\dashrightarrow \sf Volume \: of \: sphere = \frac{4}{3}\pi \times {7}^{3}$

$\dashrightarrow \sf Volume \: of \: sphere = \frac{4}{3}\pi \times {7} \times 7 \times 7$

$\dashrightarrow \sf Volume \: of \: sphere = \frac{4}{3}\pi \times 343$

$\dashrightarrow \sf Volume \: of \: sphere = \frac{4}{3} \times 3.14\times 343$

$\dashrightarrow \sf Volume \: of \: sphere = \frac{4}{3} \times 1077.02$

$\dashrightarrow \sf Volume \: of \: sphere = \frac{4 \times1077.02 }{3}$

$\dashrightarrow \sf Volume \: of \: sphere = \frac{4308.08}{3}$

$\dashrightarrow \pmb{\sf Volume \: of \: sphere =1436.03(approx)}$

❥ W᭄indy✞Mint࿐

Answer 2

We are given with a sphere whose radius is 7 units and we need to find the volume of the sphere , but before starting let's recall that ;

• ${\boxed{\bf{Volume_{(Sphere)}=\dfrac{4}{3}\pi r^{3}}}}$

Where r is the radius of the sphere . So , now in this question applying the same concept we have ;

${:\implies \quad \sf Volume_{(Sphere)}=\dfrac{4}{3}\pi (7)^{3}}$

${:\implies \quad \sf Volume_{(Sphere)}=\dfrac{4}{3}\pi \times 343}$

${:\implies \quad \bf \therefore \quad \underline{\underline{Volume_{(Sphere)}=\dfrac{1372\pi}{3}\:\: units^{3}}}}$