What is the volume of a sphere with a radius of 53.9in, rounded to the nearest tenth of a cubic inch? Answer: in ^(3)

Recall formula for volume: 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 given radius is r = 53.9 inches. Plugging this value into the formula gives us V = (4/3)π(53.9)^3.Calculate volume: Calculate the volume using the given radius. V = (4/3)π(53.9)^3 = (4/3)π(53.9 × 53.9 × 53.9)Perform multiplication: Perform the multiplication. V = (4/3)π(53.9 × 53.9 × 53.9) = (4/3)π(156.161 × 53.9) = (4/3)π(8415.0879)

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What is the volume of a sphere with a radius of
53.9in, rounded to the nearest tenth of a cubic inch?
Answer: in
^(3)

What is the volume of a sphere with a radius of $53.9$ $\mathrm{in}$ , rounded to the nearest tenth of a cubic inch? $\newline$ Answer: $\text{in}$ $^{3}$

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Grade 6

Evaluate variable expressions: word problems

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

53.9

\mathrm{in}

, rounded to the nearest tenth of a cubic inch?

\newline

Answer:

\text{in}

^{3}

Recall formula for volume: Recall the formula for the volume of a sphere. $\newline$ 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 given radius is $r = 53.9$ inches. Plugging this value into the formula gives us $V = \frac{4}{3}\pi(53.9)^3$ .
Calculate volume: Calculate the volume using the given radius. $V = \frac{4}{3}\pi(53.9)^3 = \frac{4}{3}\pi(53.9 \times 53.9 \times 53.9)$
Perform multiplication: Perform the multiplication. $\newline$ $V = \left(\frac{4}{3}\right)\pi(53.9 \times 53.9 \times 53.9) = \left(\frac{4}{3}\right)\pi(156.161 \times 53.9) = \left(\frac{4}{3}\right)\pi(8415.0879)$