Answer: Volume = 3818.2 cubic feet
Step-by-step explanation:
The formula for determining the volume of a cylinder is expressed as
Volume = πr²h
Where
r represents the radius of the cylinder.
h represents the height of the cylinder.
π is a constant whose value is 3.14
From the information given,
Diameter = 16 feet
Radius = diameter/2 = 16/2
Radius = 8 feet
Height = 19 feet
Therefore,
Volume = 3.14 × 8² × 19
Volume = 3.14 × 64 × 19
Volume = 3818.2 cubic feet rounded to the nearest tenth
Answer:
155 + 
+ 14
Step-by-step explanation:
The variable x would represent the number/value we don't know, and in this case, we don't know what number is raised to the third power. This being said, x would represent that number.
The question, although worded a bit confusingly, asks to add 155, the number (x) to the exponent of 3, and 14. Mathematically, this would be 155 + + 14.
Option E:
The value of m that makes the inequality true is 5.
Solution:
Given inequality is 3m + 10 < 30.
Let us first simplify the expression.
3m + 10 < 30
Subtract 10 from both side of the equation.
3m < 20 – – – – (1)
<u>To find the value of m that makes the inequality true:</u>
Option A: 20
Substitute m = 20 in (1),
⇒ 3(20) < 20
⇒ 60 < 20
It is not true because 60 is greater than 20.
Option B: 30
Substitute m = 30 in (1),
⇒ 3(30) < 20
⇒ 90 < 20
It is not true because 90 is greater than 20.
Option C: 8
Substitute m = 8 in (1),
⇒ 3(8) < 20
⇒ 24 < 20
It is not true because 24 is greater than 20.
Option D: 10
Substitute m = 10 in (1),
⇒ 3(30) < 20
⇒ 90 < 20
It is not true because 90 is greater than 20.
Option E: 5
Substitute m = 5 in (1),
⇒ 3(5) < 20
⇒ 15 < 20
It is true because 15 is less than 20.
Hence the value of m that makes the inequality true is 5.
Option E is the correct answer.
