What is the volume of a sphere with a radius of 37.5m, 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. Radius (r) = 37.5m Volume (V) = (4/3)π(37.5)^3Calculate Volume: Calculate the volume using the given radius. V = (4/3)π(37.5)^3 V = (4/3)π(140625) V = (4/3) * π * 140625 V ≈ (4/3) * 3.14159 * 140625 V ≈ 4 * 3.14159 * 46875 V ≈ 12.56636 * 46875 V ≈ 588,785.25 cubic metersRound to Nearest Tenth: Round the volume to the nearest tenth of a cubic meter. V ≈ 588,785.3 m^3

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What is the volume of a sphere with a radius of
37.5m, rounded to the nearest tenth of a cubic meter?
Answer:
m^(3)

What is the volume of a sphere with a radius of $37.5 \mathrm{~m}$ , 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

37.5 \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. $\newline$ Radius $r = 37.5\,\text{m}$ $\newline$ Volume $V = \frac{4}{3}\pi(37.5)^3$
Calculate Volume: Calculate the volume using the given radius. $\newline$ $V = \frac{4}{3}\pi(37.5)^3$ $\newline$ $V = \frac{4}{3}\pi(140625)$ $\newline$ $V = \frac{4}{3} \times \pi \times 140625$ $\newline$ $V \approx \frac{4}{3} \times 3.14159 \times 140625$ $\newline$ $V \approx 4 \times 3.14159 \times 46875$ $\newline$ $V \approx 12.56636 \times 46875$ $\newline$ $V \approx 588,785.25 \text{ cubic meters}$
Round to Nearest Tenth: Round the volume to the nearest tenth of a cubic meter. $V \approx 588,785.3 \, \text{m}^3$