Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

find the volume of this sphere. use 3 for $pi$. v ≈ ?cm³ v = $\frac{4}{…

Question

find the volume of this sphere. use 3 for $pi$. v ≈ ?cm³ v = $\frac{4}{3}pi r^{3}$

Explanation:

Step1: Substitute values into formula

Given $\pi = 3$ and $r = 7$ cm, substitute into $V=\frac{4}{3}\pi r^{3}$. So $V=\frac{4}{3}\times3\times7^{3}$.

Step2: Calculate $7^{3}$

$7^{3}=7\times7\times7 = 343$. Then the formula becomes $V=\frac{4}{3}\times3\times343$.

Step3: Simplify the expression

$\frac{4}{3}\times3 = 4$, so $V = 4\times343$.

Step4: Calculate the final result

$4\times343=1372$.

Answer:

$1372$