The volume of the cylinder is given by:
V = pi * r ^ 2 * h
For h = 12cm:
V1 = pi * ((21) ^ 2) * (12)
V1 = 16625.30832 cm ^ 3
For h = 11.9cm:
V2 = pi * ((21) ^ 2) * (11.9)
V2 = 16486.76409 cm ^ 3
The change in volume is given by:
V1-V2 = 16625.30832-16486.76409
V1-V2 = 138.54423 cm ^ 3
Answer:
the change in the volume is:
V1-V2 = 138.54423 cm ^ 3
16x^2=9
x^2=9/18
x=sqrt(9/16)
x=3/4,-3/4
so the root of the quadratic equation are 3/4 and -3/4
Answer:
x = 58
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles
90 = 32+x
Subtract 32 from each side
90-32 = x
58 =x
Answer:
C
Step-by-step explanation:
Calculate AC using Pythagoras' identity in ΔABC
AC² = 20² - 12² = 400 - 144 = 256, hence
AC =
= 16
Now find AD² from ΔACD and ΔABD
ΔACD → AD² = 16² - (20 - x)² = 256 - 400 + 40x - x²
ΔABD → AD² = 12² - x² = 144 - x²
Equate both equations for AD², hence
256 - 400 + 40x - x² = 144 - x²
-144 + 40x - x² = 144 - x² ( add x² to both sides )
- 144 + 40x = 144 ( add 144 to both sides )
40x = 288 ( divide both sides by 40 )
x = 7.2 → C
45 minutes i m sure all you do is count up or subtract 60 from 15