Question

The height of a cone-shaped container is 18 centimeters and its radius is 7 centimeters. Meg fills the container completely with honey. Every day Meg uses 21 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. (Use π = 3.14.).

A) 44
B) 66
C) 78
D) 92

Answer 1

To determine the number of days Meg will use all the honey in a cone-shaped container, calculate the volume of the cone and divide it by the daily usage amount. The volume comes out to be approximately 1,848 cm³ and dividing by 21 cm³/day usage, it takes about 88 days to empty the container when rounded to the nearest whole number.

Step-by-step explanation:

The question asks how many days it will take for Meg to use all the honey in a cone-shaped container given its dimensions and the daily usage amount. First, we need to find the volume of the cone, which is given by the formula V = ⅓πr²h. With the height (h) of 18 cm and the radius (r) of 7 cm, the volume of the cone is:

V = ⅓π(7 cm)²(18 cm) = ⅓× 3.14× (7 cm)²× 18 cm ≈ ⅓× 3.14 × 49 cm² × 18 cm ≈ 1,848 cm³.

Meg uses 21 cm³ of honey per day, so the number of days (D) it will take to empty the container is:

D = Total Volume / Daily Usage = 1,848 cm³ / 21 cm³/day ≈ 88 days

To find the nearest whole number, we round 88 to 88, hence after approximately 88 days the container will be empty. The closest answer choice is (D) 92 days.