Answer:
The removed number is 16
Step-by-step explanation:
Five numbers have a mean of 12.
Now;
Mean = Σx/x
Thus; Σx = 12 × 5 = 60
Now,we are told that if one number is removed, the mean is 11.
Thus;
(60 - x)/4 = 11
60 - x = (11 × 4)
60 - x = 44
x = 60 - 44
x = 16
Thus,the removed number is 16
Since the two cylinders are congruent, it means that their dimensions are exactly the same thing.
In other words, the radius of cylinder 1 is the same as that of cylinder 2, and the height of cylinder 2 is the same as that of cylinder 1. This is what it means for two solid shapes to be congruent.
Now, to find the volume of cylinder 2, we apply the frmula for the volume of a tyical cylnder:
![\text{Volume}=\pi\times r^2\times h](https://tex.z-dn.net/?f=%5Ctext%7BVolume%7D%3D%5Cpi%5Ctimes%20r%5E2%5Ctimes%20h)
Now,
radius of cylinder 2 = radius of cylinder 1 = 3
height of cylinder 2 = 8
Thus: r = 3, h= 8
Therefore:
![\begin{gathered} \text{Volume}=\pi\times r^2\times h \\ \text{Volume}=\pi\times3^2\times8 \\ \text{Volume}=\pi\times9^{}\times8 \\ \text{Volume}=\pi\times72 \\ \text{Volume}=72\pi\text{ cubic units} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ctext%7BVolume%7D%3D%5Cpi%5Ctimes%20r%5E2%5Ctimes%20h%20%5C%5C%20%5Ctext%7BVolume%7D%3D%5Cpi%5Ctimes3%5E2%5Ctimes8%20%5C%5C%20%5Ctext%7BVolume%7D%3D%5Cpi%5Ctimes9%5E%7B%7D%5Ctimes8%20%5C%5C%20%5Ctext%7BVolume%7D%3D%5Cpi%5Ctimes72%20%5C%5C%20%5Ctext%7BVolume%7D%3D72%5Cpi%5Ctext%7B%20cubic%20units%7D%20%5Cend%7Bgathered%7D)
Therefore the volume of cylinder 2 is 72pi cubic units (Option D)
Answer:
-2
Step-by-step explanation:
See attachment
Answer:
0.25
Step-by-step explanation:
Answer:
=268 cm²
Step-by-step explanation:
S=(4×10+4×5+5×10)×2×6×4=268cm²
The surface area of the composite figure = the surface area of the bottom cuboid + the flank area of the top Cuboid