Question

The volume of a sphere is 367 ft. What is the radius of the sphere? Use the formula V = ar to find your answer.​

Answer 1

Answer:

Answer: Radius is 3 ft

Step-by-step explanation:

Formular:

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

substitute:

$36\pi = \frac{4}{3} \pi {r}^{3}$

multiply all sides by 3:

$(36\pi \times 3) = ( \frac{4}{3} \pi {r}^{3} ) \times 3 \\ \\ 108\pi = 4\pi {r}^{3}$

divide all sides by π :

$\frac{108\pi}{\pi} = \frac{4\pi {r}^{3} }{\pi} \\ \\ 108 = 4 {r}^{3}$

divide all sides by 4:

$\frac{108}{4} = \frac{4 {r}^{3} }{4} \\ \\ {r}^{3} = 27$

take a cube root:

$\sqrt[3]{ {r}^{3} } = \sqrt[3]{27} \\ r = \sqrt[3]{(3 \times 3 \times 3)} \\ r = \sqrt[3]{ {3}^{3} } \\ \\ r = 3$