A bowl in the shape of a hemisphere has a volume of 18π cubic inches. What is the radius of the bowl

Question

asked Mar 15, 2020 161k views

2 Answers

Garuuk · Answer 1 · 2020-03-20T19:58:46+0000

For this case we have by definition, that a hemisphere represents half of a sphere.

Its volume is given by:

$V = \frac {2} {3} \pi * r ^ 3$

Where "r" represents the radius.

Substituting the data and clearing the radio we have:

$\frac {2} {3} \pi * r ^ 3 = 18 \pi\\\frac {2} {3} * r ^ 3 = 18\\r ^ 3 = 18 * \frac {3} {2}\\r ^ 3 = 27\\r = \sqrt [3] {27}\\r = 3$

Thus, the radius of the hemisphere is 3 inches.

Answer:

$3 \ in$