Answer:
Volume of the frustum = ⅓πh(4R² - r²)
Step-by-step explanation:
We are to determine the volume of the frustum.
Find attached the diagram obtained from the given information.
Let height of small cone = h
height of the large cone = H
The height of a small cone is a quarter of the height of the large cone:
h = ¼×H
H = 4h
Volume of the frustum = volume of the large cone - volume of small cone
volume of the large cone = ⅓πR²H
= ⅓πR²(4h) = 4/3 ×π×R²h
volume of small cone = ⅓πr²h
Volume of the frustum = 4/3 ×π×R²h - ⅓πr²h
Volume of the frustum = ⅓(4π×R²h - πr²h)
Volume of the frustum = ⅓πh(4R² - r²)
Answer:
x-intercept: x = -4/3
Step-by-step explanation:
x-intercept when y = 0
-6x + 0 = 8
so
-6x = 8
x = 8/-6
x = -4/3
5/6÷2/1
=5/6×1/2
=5/12 i hope this helps
1) A translation 2 units right
2) A reflection over the x-axis
Answer:
arc ≈ 5.5 units
Step-by-step explanation:
The arc of the circle is calculated as
arc = circumference of circle × fraction of circle
= 2πr ×
( r is the radius )
= 2π × 3.5 × 
= 
≈ 5.5 ( to the nearest tenth )