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V=(4)/(3)pir^(3)
The formula gives the volume
V of a sphere with radius
r. What is the volume, in cubic feet, of a sphere with a radius of 2 feet?
Choose 1 answer:
(A)
4pi
(B)
8pi
(C)
(8)/(3)pi
(D)
(32)/(3)pi

$V=\frac{4}{3} \pi r^{3}$ $\newline$ The formula gives the volume $V$ of a sphere with radius $r$ . What is the volume, in cubic feet, of a sphere with a radius of $2$ feet? $\newline$ Choose $1$ answer: $\newline$ (A) $4 \pi$ $\newline$ (B) $8 \pi$ $\newline$ (C) $\frac{8}{3} \pi$ $\newline$ (D) $\frac{32}{3} \pi$

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Interpret parts of quadratic expressions: word problems

Full solution

Q.

V=\frac{4}{3} \pi r^{3}

\newline

The formula gives the volume

V

of a sphere with radius

r

. What is the volume, in cubic feet, of a sphere with a radius of

2

feet?

\newline

Choose

1

answer:

\newline

(A)

4 \pi

\newline

(B)

8 \pi

\newline

(C)

\frac{8}{3} \pi

\newline

(D)

\frac{32}{3} \pi

Identify the formula: Identify 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 $V$ is the volume and $r$ is the radius of the sphere.
Substitute the given radius: Substitute the given radius into the formula. $\newline$ The radius $r$ is given as $2$ feet. We substitute $r = 2$ into the formula to find the volume $V$ . $\newline$ $V = \frac{4}{3}\pi(2)^3$
Calculate the volume: Calculate the volume using the substituted values. $\newline$ $V = \frac{4}{3}\pi(2^3)$ $\newline$ $V = \frac{4}{3}\pi(8)$ $\newline$ $V = \frac{4}{3} \times 8 \times \pi$ $\newline$ $V = \frac{32}{3}\pi$ cubic feet

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