What is the volume of a sphere with a radius of 6.3m, rounded to the nearest tenth of a cubic meter? Answer: m^(3)

Recall Sphere Volume Formula: Recall the formula for the volume of a sphere. The formula for the volume of a sphere is V = (4/3)πr^3, where V is the volume and r is the radius of the sphere.Substitute Given Radius: Substitute the given radius into the formula. The radius given is r = 6.3m. So, we substitute this value into the formula to get V = (4/3)π(6.3)^3.Calculate Volume: Calculate the volume using the substituted values. V = (4/3)π(6.3)^3 = (4/3)π(250.047) ≈ 1047.1976πEvaluate Volume in Cubic Meters: Evaluate the expression to find the volume in cubic meters. Since π is approximately 3.14159, we multiply 1047.1976 by π to get the volume. V ≈ 1047.1976 × 3.14159 ≈ 3290.2214 m^3Round Volume: Round the volume to the nearest tenth of a cubic meter. Rounded to the nearest tenth, the volume is approximately 3290.2 m^3.

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What is the volume of a sphere with a radius of
6.3m, rounded to the nearest tenth of a cubic meter?
Answer:
m^(3)

What is the volume of a sphere with a radius of $6.3 \mathrm{~m}$ , rounded to the nearest tenth of a cubic meter? $\newline$ Answer: $\mathrm{m}^{3}$

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Grade 7

Convert between customary and metric systems

Full solution

Q. What is the volume of a sphere with a radius of

6.3 \mathrm{~m}

, rounded to the nearest tenth of a cubic meter?

\newline

Answer:

\mathrm{m}^{3}

Recall Sphere Volume Formula: Recall the formula for the volume of a sphere. The formula for the volume of a sphere is $V = \frac{4}{3}\pi r^3$ , where $V$ is the volume and $r$ is the radius of the sphere.
Substitute Given Radius: Substitute the given radius into the formula. $\newline$ The radius given is $r = 6.3\,\text{m}$ . So, we substitute this value into the formula to get $V = \frac{4}{3}\pi(6.3)^3$ .
Calculate Volume: Calculate the volume using the substituted values. $\newline$ $V = \frac{4}{3}\pi(6.3)^3 = \frac{4}{3}\pi(250.047) \approx 1047.1976\pi$
Evaluate Volume in Cubic Meters: Evaluate the expression to find the volume in cubic meters. Since $\pi$ is approximately $3.14159$ , we multiply $1047.1976$ by $\pi$ to get the volume. $V \approx 1047.1976 \times 3.14159 \approx 3290.2214 \, \text{m}^3$
Round Volume: Round the volume to the nearest tenth of a cubic meter. $\newline$ Rounded to the nearest tenth, the volume is approximately $3290.2\,\text{m}^3$ .