Question

question what is the volume of a sphere with a radius of 2.9 m, rounded to the nearest tenth of a cubic meter? answer attempt 1 out of 2 m³ submit answer

Explanation:

Step1: Recall volume formula for sphere

The volume formula for a sphere is $V = \frac{4}{3}\pi r^{3}$, where $r$ is the radius of the sphere.

Step2: Substitute given radius

Given $r = 2.9$ m, we substitute it into the formula: $V=\frac{4}{3}\pi(2.9)^{3}$.

Step3: Calculate $(2.9)^{3}$

$(2.9)^{3}=2.9\times2.9\times2.9 = 24.389$.

Step4: Calculate $\frac{4}{3}\pi(24.389)$

$\frac{4}{3}\pi(24.389)=\frac{4\times\pi\times24.389}{3}\approx\frac{4\times3.14\times24.389}{3}$.
$4\times3.14\times24.389 = 306.18296$, and $\frac{306.18296}{3}\approx102.06$.

Step5: Round to nearest tenth

Rounding $102.06$ to the nearest tenth gives $102.1$.

Answer:

$102.1$ m$^{3}$