Question

Type the correct answer in the box. Use numerals instead of words.A right cone is filled with ice cream such that the cone is filled completely but ice cream does not overfill the top. To determine how much ice cream will be in the cone, you approximate the diameter of the cone to be 2.5 inches and the height of the cone to be 5 inches. What is the approximate volume of ice cream in the cone, rounded to two decimal places?

Answer 1

2.60 π cubic inches.

Explanation:

The formula for the volume of a right cone is

, and the radius of a circle is half the diameter.

The volume is about 2.60

cubic inches.

Answer 2

Given:

• Diameter of the cone, d = 2.5 inches

,

• Height of cone, h = 5 inches

Let's find the volume of the ice cream in the cone.

To find the volume of the cone, apply the formula:

`V=\pi((d)/(2))^2*(h)/(3)`

Where:

d is the diameter = 2.5 inches

h is the height = 5 inches

Thus, we have:

`\begin{gathered} V=\pi((2.5)/(2))^2*(5)/(3) \\ \\ V=\pi(1.25)^2*(5)/(3) \\ \\ V=(\pi*1.5625*5)/(3) \\ \\ V=(7.8125\pi)/(3) \\ \\ V=2.60\pi\text{ cubic inches} \end{gathered}`

Therefore, the approximate volume of the icecream in the cone is 2.60 π cubic inches.

ANSWER:

2.60 π cubic inches.