Question

The volume of a beack ball is 905 square centimeters. Find the radius of the ball to the nearest whole number.​

Answer 1

given:

$v = 905 \: {cm}^{3}$

to find:

the radius of the given ball (sphere).

solution:

$r = \sqrt[3]{ \frac{3v}{4\pi} }$

$r = \sqrt[3]{ \frac{3 \times 905}{4\pi} }$

$r = 6 \: cm$

therefore, the radius of the ball is 6 cm.

note: refer to the picture I added on how you can change r as the subject of the formula.

Answer 2

Solution:

$r = (3 \frac{v}{4\pi} {)}^{ \frac{1}{3} }$

$r = (3 \times \frac{905}{4 \times \pi} {)}^{ ^{ \frac{1}{3} } }$

$r = 6.00049 \: cm$

$r = 6 \: cm$

Hence, the radius of the beach ball is 6 centimeters.

Note: please refer to the attachment.