he height of a cone-shaped container is 70 centimeters and its radius is 15 centimeters. Cathy fills the container completely wi

Question

3 years ago

10

he height of a cone-shaped container is 70 centimeters and its radius is 15 centimeters. Cathy fills the container completely wi

th honey. Every day Cathy uses 500 cubic centimeters of honey from the container to make honey cookies. After how many days will the container be completely empty? Round your answer to the nearest whole number.

Mathematics

2 answers:

Aleonysh [2.5K] · Answer 1 · 2022-01-21T20:36:26+03:00

Aleonysh [2.5K]3 years ago

6 0

Answer:

33 days.

Step-by-step explanation:

Rus_ich [418] · Answer 2 · 2022-01-21T19:05:24+03:00

Let's restate the given:

Height of cone = 70 cm
Radius = 15 cm

Now, first, let's find the volume of the cone through the formula V = πr²h/3
Substitute all data and you will get 16493.36 cubic centimeters.

Now, to get how many days the container will be complete empty, you simply divide the volume of the cone by 500 cubic centimeters.

Days = 16493.36 cu cm/ 500 cu cm
Days = 32.99 or 33 days.

Thus, the answer you're looking for is 33 days.