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The measure of the ∠Q = 41°
By law of cosines:
a law in trigonometry: the square of a side of a plane triangle equals the sum of the squares of the remaining sides minus twice the product of those sides and the cosine of the angle between them.
Which can we stated as:

solving equation using normal algebra:
60cos(Q) = 36 + 25 - 16
60 cos(Q) = 45
cos(Q) = 45/60
cos(Q) = 3/4

Thus, Q = 41°
Hence, the measure of the smallest angle in a triangle whose sides have lengths 4, 5, and 6. ∠Q is 41°.
To learn more about Finding angles visit:
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The approximate lateral area of the circular cone with has the base diameter 18 in and height 40 in long is 1,159 square inches
<h3>What is the lateral area of cone?</h3>
Lateral area of the cone is the area bounded by the surface of the cone, and this Lateral area of the cone can be found out using the following formula.

here. (<em>h</em>) is the height of the cone and (<em>r</em>) is the radius of the cone.
A cone has a circular base with a diameter of 18 inches. The height of the cone is 40 inches.
Put these values in the above formula as,

Hence, the approximate lateral area of the circular cone with has the base diameter 18 in and height 40 in long is 1,159 square inches
Learn more about the lateral area of the cone here:
brainly.com/question/858717
<u><em>Answer:</em></u>
The cylinder can hold 508.68 in³
<u><em>Explanation:</em></u>
<u>The volume of a cylinder can be calculated using the following rule:</u>
Volume of cylinder = πr²h cubic units
where r is the radius of the cylinder and h is its height
<u>Now, we are given that:</u>
height of cylinder = 18 in
diameter of cylinder = 6 in which means that the radius of the cylinder is 3 in
π is 3.14
<u>Substitute with the givens in the above equation to get the volume of the cylinder as follows:</u>
Volume of cylinder = πr²h
Volume of cylinder = 3.14 * (3)² * 18
Volume of cylinder = 508.68 in³
Hope this helps :)