What is the volume of a sphere with a radius of 8.2m, 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) = 8.2m Volume (V) = (4/3)π(8.2)^3Calculate Volume: Calculate the volume using the given radius. V = (4/3)π(8.2)^3 V ≈ (4/3) * 3.14159 * (8.2 * 8.2 * 8.2) V ≈ (4/3) * 3.14159 * 551.368 V ≈ 4.18879 * 551.368 V ≈ 2309.846Round to Nearest Tenth: Round the volume to the nearest tenth of a cubic meter. V ≈ 2309.8 m^3 (rounded to the nearest tenth)

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What is the volume of a sphere with a radius of
8.2m, rounded to the nearest tenth of a cubic meter?
Answer:
m^(3)

What is the volume of a sphere with a radius of $8.2 \mathrm{~m}$ , rounded to the nearest tenth of a cubic meter? $\newline$ Answer: $\mathrm{m}^{3}$

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Math Problems

Grade 7

Convert between customary and metric systems

Full solution

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

8.2 \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 $r = 8.2\,\text{m}$ $\newline$ Volume $V = \frac{4}{3}\pi(8.2)^3$
Calculate Volume: Calculate the volume using the given radius. $\newline$ $V = \frac{4}{3}\pi(8.2)^3$ $\newline$ $V \approx \frac{4}{3} \times 3.14159 \times (8.2 \times 8.2 \times 8.2)$ $\newline$ $V \approx \frac{4}{3} \times 3.14159 \times 551.368$ $\newline$ $V \approx 4.18879 \times 551.368$ $\newline$ $V \approx 2309.846$
Round to Nearest Tenth: Round the volume to the nearest tenth of a cubic meter. $\newline$ $V \approx 2309.8\, \text{m}^3$ (rounded to the nearest tenth)