Question

A spherically shaped container of radius 18 cm is filled with water. The volume of a sphere is 4 over 3 πr cubed . Use 3.14 space f o r space straight pi . Round all answers to one decimal place. How many liters of water does the container hold?

Answer 1

To find the container's volume, use V = 4/3 πr³ with the given radius of 18 cm. After calculation, the spherical container has a volume of 24.5 liters of water.

Step-by-step explanation:

To calculate the volume of the spherically shaped container filled with water, we use the formula for the volume of a sphere, which is V = 4/3 πr³, where π is Pi and 'r' is the radius of the sphere. Given that the radius of the container is 18 cm, we substitute this value into the formula:

V = 4/3 × 3.14 × 18³ cm³

V = 4/3 × 3.14 × 5832 cm³

V = 24476.16 cm³

Since there are 1000 cubic centimeters in a liter, we divide the volume by 1000 to convert it to liters:

Volume in liters = 24476.16 cm³ / 1000 = 24.5 liters

Therefore, the container holds 24.5 liters of water when filled.