Question

A sphere has a volume of 1837.35 cm cubed. Whats the radius using 3.14 for pi?

Answer 1

Answer: 7.6cm

Step-by-step explanation:

The volume of a sphere is given as:

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

since the volume has be given to be 1837.35 and $\pi$ is 3.14 , we will substitute into the formula, that is :

$1837.35=\frac{4}{3}(3.14)r^{3}$

multiplying through by 3 , we have :

$5512.05= 4(3.14)r^{3}$

$5512.05=12.56r^{3}$

divide through by 12.56

$438.8574841=r^{3}$

find the cube root of both sides :

therefore :

$r = 7.599315982$

Therefore:

$r$≈ 7.6cm