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:
The width is 9.5 ft
Step-by-step explanation:
Perimeter for a rectangle is given by
P = 2 (l+w)
43.8 = 2 (12.4+w)
Divide each side by 2
21.9 = 12.4+w
Subtract 12.4 from each side
21.9-12.4 = w
9.5 = w
The width is 9.5 ft
Required area of shaded portion
= Area of square ABCD - 4 × area of one quadrant
Answer:
<h2>The slope is 2</h2>
Step-by-step explanation:
Step one:
we are required to find the slope of the given data points
A(4,6) B(5,8)
hence the x and y values correspond to
x1=4
y1=6
x2=5
y2=8
Step two:
Required is the slope which is
slope= y2-y1/x2-x1
Slope=8-6/5-4
Slope= 2/1
<em><u>Hence the slope of the ordered pair is 2</u></em>
