Answer:
inches or approximately 5.97 inches
Step-by-step explanation:
Use the cone volume formula: V = 
r²
The diameter is 8 inches, so the radius will be 4 inches.
Plug in the radius and volume, and solve for h
V = r²
100 = (4²)()
100 = 16
Divide each side by 16
=
Cross multiply and solve for h:
4h = 75
h =
So, the cone's height is or approximately 5.97 inches
Let the numbers be x and y, then
2x + y = 47 . . . (1)
x + 3y = 56 . . . (2)
(2) x 2 => 2x + 6y = 112 . . . (3)
(1) - (3) => -5y = -65 => y = -65/-5 = 13
From (2), x + 3(13) = 56 => x = 56 - 39 = 17
The two numbers are 13 and 17.
Given:
Length of the circular arc with circle radius=49cm
θ=135°
Now,
Length of arc = θ/360°×2πr
49=2× 22/7×r×135°/360°
49×20×7/3×22×2
51.96cm
