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:
6
Step-by-step explanation:
5x + 8 = 38
5x = 30
Answer:
C. 1
Step-by-step explanation:
f(2) simply means x = 2.
We are trying to find the y-value when x = 2.
According to the graph, when x = 2, y = 1.
Therefore, f(2) = 1.
Answer:
169.04 in² (nearest hundredth)
Step-by-step explanation:
Surface area of a cone = 
r² + r
(where r = radius of the base and = slant height)
Given slant height = 10 and surface area = 188.5
Surface area = r² + r
188.5 = r² + 10r
r² + 10r - 188.5 = 0
r = 
= 4.219621117...
Volume of a cone = (1/3)r²h
(where r = radius of the base and h = height)
We need to find an expression for h in terms of using Pythagoras' Theorem a² + b² = c², where a = radius, b = height and c = slant height
r² + h² = ²
h² = ² - r²
h = √(² - r²)
Therefore, substituting found expression for h:
volume of a cone = (1/3)r²√(² - r²)
Given slant height = 10 and r = 4.219621117...
volume = 169.0431969... = 169.04 in² (nearest hundredth)
Answer:
A
Step-by-step explanation:
if you take 23 and put it in for p 18+23=41
