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

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.