A cone-shaped water cup has a height of 3.3 inches and a diameter of 2.7 inches. One fluid ounce is equivalent to 1.8 cubic inches. What is the capacity, in fluid ounces, of the cup? Use 3.14 for π. Round to the nearest tenth.

3.5 fluid ounces

Step-by-step explanation:

In this question, we are asked to calculate the capacity in fluid ounce of a cone-shaped cup.

To solve this, we need to calculate the volume of the cup.

Mathematically, the volume of a cone =

1/3 * π * r^2 * h

Where r = d/2 = 2.7/2 = 1.35 inches

h = 3.3 inches

By substituting this, we have

V = 1/3 * 3.14 * 1.35^2 * 3.3 = 6.3 cubic inch

Now we proceed to calculate the capacity

From the question, we are told that;

1 fluid ounce = 1.8 cubic inch

This means

x fluid ounce = 6.3 cubic inch

x = 6.3/1.8

x = 3.5 fluid ounces

about 3.5