The height of the cone with a volume of 1/18π ft³ is: 1.5 ft.
<h3>What is the Volume of a Cone?</h3>
Volume of a cone = 1/3πr²h, where, h = height of cone, and r = radius of the cone.
Given the following:
- Volume = 1/18 π ft³
- Diameter = 2/3 ft
- Radius = (2/3)/2 = 1/3 ft
- Height (h) = ?
Plug in the values into the volume formula:
1/18π = 1/3π(1/3)²h
1/18π = 1/3π(1/9)h
1/18π = (πh)/27
Divide both sides by π
1/18 = h/27
Cross multiply
27 = 18h
27/18 = h
h = 1.5
Therefore, the height of the cone with a volume of 1/18π ft³ is: 1.5 ft.
Learn more about volume of cone on:
brainly.com/question/13677400
Answer: The answer is 20
Step-by-step explanation: If all interior angles are 162o , polygon has 20 sides.
Given:
The expression is .
Sam's calculation is
To find:
Whether Sam's thinking correct or not.
Solution:
We have,
Therefore, Sam's thinking was incorrect.
On number first we have to move 10 units from 0 in positive direction after that negative sign means move in left direction.
But we have 2 negative signs so we need to move 6 units more on positive or right direct as shown below.
To answer the question we proceed as follows:
suppose a cone has a height x units and radius x units
volume will be:
v=1/3πr²h
V=1/3πx³ cubic units
when we add 1 unit to the radius and subtract 1 unit from the height the volume will be:
v=1/3π(x+1)²(x-1)
v=1/3π(x³+x²-x-1) cubic units
comparing the above values for volume we conclude that the volume will not be the same. This means the volume won't stay the same after changes.