Find the volume of a sphere with a radius of 4 feet. Leave pi (A) 341.33 pift^(3) (B) 16 pift^(3) (C) 21.33 pift^(3) (D) 85.33 pift^(3)

Recall Volume Formula: Recall the formula for the volume of a sphere. The formula for the volume of a sphere is given by V = (4/3)πr^3, where r is the radius of the sphere.Substitute Given Radius: Substitute the given radius into the volume formula. Given the radius r = 4 feet, we substitute it into the formula to get V = (4/3)π(4)^3.Calculate Volume: Calculate the volume using the substituted values. V = (4/3)π(4)^3 = (4/3)π(64) = (4/3) * 64 * π = 256/3 * π ≈ 256/3 * 3.14159Perform Multiplication: Perform the multiplication to find the volume. V ≈ 256/3 * 3.14159 ≈ 85.33333 * 3.14159 ≈ 268.0824 cubic feet

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Find the volume of a sphere with a radius of 4 feet.
Leave pi
(A) 341.33 pift^(3)
(B) 16 pift^(3)
(C) 21.33 pift^(3)
(D) 85.33 pift^(3)

Find the volume of a sphere with a radius of $4$ feet. $\newline$ Leave $\pi$ $\newline$ (A) $341.33 \pi \mathrm{ft}^{3}$ $\newline$ (B) $16 \pi \mathrm{ft}^{3}$ $\newline$ (C) $21.33 \pi \mathrm{ft}^{3}$ $\newline$ (D) $85.33 \pi \mathrm{ft}^{3}$

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Algebra 2

Product property of logarithms

Full solution

Q. Find the volume of a sphere with a radius of

4

feet.

\newline

Leave

\pi

\newline

(A)

341.33 \pi \mathrm{ft}^{3}

\newline

(B)

16 \pi \mathrm{ft}^{3}

\newline

(C)

21.33 \pi \mathrm{ft}^{3}

\newline

(D)

85.33 \pi \mathrm{ft}^{3}

Recall Volume Formula: Recall the formula for the volume of a sphere. $\newline$ The formula for the volume of a sphere is given by $V = \frac{4}{3}\pi r^3$ , where $r$ is the radius of the sphere.
Substitute Given Radius: Substitute the given radius into the volume formula. $\newline$ Given the radius $r = 4$ feet, we substitute it into the formula to get $V = \frac{4}{3}\pi(4)^3$ .
Calculate Volume: Calculate the volume using the substituted values. $\newline$ $V = \frac{4}{3}\pi(4)^3 = \frac{4}{3}\pi(64) = \frac{4}{3} \times 64 \times \pi = \frac{256}{3} \times \pi \approx \frac{256}{3} \times 3.14159$
Perform Multiplication: Perform the multiplication to find the volume. $\newline$ $V \approx \frac{256}{3} \times 3.14159 \approx 85.33333 \times 3.14159 \approx 268.0824$ cubic feet