2. A cone has a volume 7,065 in.3 and aheight of 30 inches. What is the radius of thecone?
1 answer:
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Since One Radio in Davis Electronics requires 18 working resistors, then 2,145 radios will require resistors.
Now we know that one out of 22 resistors is defective. This means that the number of non defective or perfect resistors in a set of 22 resistors is 21.
So, obviously, if we pick a set of 40,370 resistors then the set of working resistors we will get is .
As can be clearly seen from the above calculations the required amount of working resistors is 38610 and the amount of working calculators available to us is 38535.
Thus, since the required amount of working resistors is greater than the amount of working resistors available, 40,370 resistors are not enough to assemble 2,145 radios.
The diagram of the triangle is missing, so i have attached it.
Answer:
Surface area = 9.425 sq.units
Step-by-step explanation:
When a triangle having an interior angle as 30°, 60° or 90° is rotated, then a cone is formed.
Thus, we need to find the surface area of the cone.
Surface area of a cone is πr ² + πrL
where;
r = radius of the cone
L = slant height of the cone
I have attached the cone formed as the second image.
Looking at the image of the cone, we need to find the radius and slant height.
From the triangle image, we can use trigonometric ratios;
tan 30 = BC/AB
In surd form, BC/AB = 1/√3
Thus, BC is equivalent to 1 and AB equivalent to √3
Using Pythagoras theorem, we can find AC.
(AC)² = (AB)² + (BC)²
AC = √[(AB)² + (BC)²]
AC =√[(√3)² + (1)²]
AC = √[3 + 1]
AC = √4
AC = 2
So, radius, r corresponds to BC = 1
And slant height L corresponds to AC = 2.
Thus,r = 1 and L = 2
So,
Surface area of cone = π(1)² + π(1)(2) = π + 2π = 9.425 sq.units
