What is the volume of a sphere with a radius of 45.3ft, rounded to the nearest tenth of a cubic foot? Answer: ft^(3)

Formula for Volume: To find the volume of a sphere, we use the formula V = (4/3)πr^3, where V is the volume and r is the radius of the sphere.Cube the Radius: First, we need to cube the radius. The radius is 45.3 feet, so we calculate 45.3^3. 45.3^3 = 45.3 * 45.3 * 45.3 ≈ 92610.297 cubic feet.Calculate Volume: Next, we multiply the cubed radius by (4/3)π to get the volume. V = (4/3)π * 92610.297 ≈ 123204.396 * π cubic feet.Multiply by π: Now we need to multiply by π to get the final volume. 123204.396 * π ≈ 387,298.6 cubic feet when rounded to the nearest tenth.Round to Nearest Tenth: Finally, we round the volume to the nearest tenth of a cubic foot as asked in the question prompt. The volume of the sphere is approximately 387,298.6 cubic feet when rounded to the nearest tenth.

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What is the volume of a sphere with a radius of
45.3ft, rounded to the nearest tenth of a cubic foot?
Answer:
ft^(3)

What is the volume of a sphere with a radius of $45.3 \mathrm{ft}$ , rounded to the nearest tenth of a cubic foot? $\newline$ Answer: $\mathrm{ft}^{3}$

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Grade 7

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Full solution

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

45.3 \mathrm{ft}

, rounded to the nearest tenth of a cubic foot?

\newline

Answer:

\mathrm{ft}^{3}

Formula for Volume: To find the volume of a sphere, we use the formula $V = \frac{4}{3}\pi r^3$ , where $V$ is the volume and $r$ is the radius of the sphere.
Cube the Radius: First, we need to cube the radius. The radius is $45.3$ feet, so we calculate $45.3^3$ . $45.3^3 = 45.3 \times 45.3 \times 45.3 \approx 92610.297$ cubic feet.
Calculate Volume: Next, we multiply the cubed radius by $(4/3)\pi$ to get the volume. $V = \left(\frac{4}{3}\right)\pi \times 92610.297 \approx 123204.396 \times \pi$ cubic feet.
Multiply by $\pi$ : Now we need to multiply by $\pi$ to get the final volume. $123204.396 \times \pi \approx 387,298.6$ cubic feet when rounded to the nearest tenth.
Round to Nearest Tenth: Finally, we round the volume to the nearest tenth of a cubic foot as asked in the question prompt. $\newline$ The volume of the sphere is approximately $387,298.6$ cubic feet when rounded to the nearest tenth.