Volume of cone: pi * r^2 * h/3
Given volume, height
942in^3 = 3.14 * r^2 * 9/3
942in^2 = r^2 * 9.42
Divide by 9.42
r^2 = 100, r = -10, 10
Cannot be negative so...
Solution: radius is 10 in.
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Answer:

Step-by-step explanation:
In the geometric series:

The nth term of the geometric sequence can be calculated using formula

In your case, n = 10, then

Answer: 67°
Step-by-step explanation:
Complementary angle refers to the angle that when added together will be equal to 90°.
Let the measurement of the angle's complement be x.
Therefore, the angles are x and 2x + 21. Since it's a complementary angle, therefore,
x + 2x + 21 = 90
3x + 21 = 90
3x = 90 - 21
3x = 69
x = 69°/3
x = 23°
Therefore, the angle will be:
= 2x + 21
= 2(23°) + 21°
= 46° + 21°
= 67°
The angle is 67°.
Answer:
y = - 8
Step-by-step explanation:
y - 16 - 3y = 0
Group like terms
y - 3y - 16 = 0
Add similar elements: y - 3y = - 2y
- 2y - 16 = 0
Add 16 to both sides
- 2y - 16 + 16 = 0 + 16
Simplify
- 2y = 16
Divide both sides by - 2
= 
Simplify
: y

Apply the fraction rule: 
= 
Divide the numbers: 
= y
Simplify
: - 8

Apply the fraction rule: 

Divide the numbers:
= 8
= - 8
y = - 8