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2 years ago

What is the radius of a sphere with a volume of 384\text{ ft}^3,384 ft

Mathematics

1 answer:

Alecsey [184]2 years ago

3 0

Answer:

r≈4.5 ft

Step-by-step explanation:

r≈4.5 ft

\text{Volume of a Sphere:}

Volume of a Sphere:

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

πr

384=

\,\,\left(\frac{4}{3}\pi\right) r^3

(

π)r

384=

\,\,(4.1887902)r^3

(4.1887902)r

Evaluate 4/3pi in calc

\frac{384}{4.1887902}=

4.1887902

384

\,\,\frac{(4.1887902)r^3}{4.1887902}

4.1887902

(4.1887902)r

Evaluate \frac{4}{3}\pi

π in calc

91.6732472=

\,\,r^3

\sqrt[3]{91.6732472}=

91.6732472

\,\,\sqrt[3]{r^3}

Cube root both sides

4.5090066=

\,\,r

\text{Final Answer:}

Final Answer:

r\approx 4.5\text{ ft}

r≈4.5 ft

Round to nearest tenth

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