Answer:
184.43in².
Step-by-step explanation:
Total surface area of the solid = volume of the cube - the volume of the cone
For the CUBE;
Volume of the cube = L³ where L is the length of one side of the cube.
Since a cone of diameter of 6in is cut into a cube, then the length of the cube will be 6in.
Volume of the cube = 6³ = 216in³
For the CONE;
Volume of the cone = 1/3 πr²h
r is the radius of the cone = diameter/2
r = 6/2 = 3in
slant height l = 4.5in
the height h of the cone will be derived using the Pythagoras theorem.
l² = h²+r²
4.5² = h²+3²
h² = 4.5²-3²
h² = 11.25
h=√11.25
h = 3.35in
Volume of the cone = 1/3 × π × 3²× 3.35
= 31.57in³
Total surface area of the solid = 216in³-31.57in³
= 184.43in²
The mean and the median based on the information given will be 166.08 and 195.
<h3>How to calculate the value?</h3>
It should be noted that the mean is also the average. It's gotten by adding all the numbers and dividing by 13. This will be 166.08.
The median is simply the middle number. This will be 195.
The range will be:
= 301 - 7
= 294
Learn more about mean on:
brainly.com/question/1136789
#SPJ1
Answers:
- Angle X = 142 degrees
- Angle Y = 142 degrees
Both angles are the same measure
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Explanation:
We have a 5 sided polygon, so this is a pentagon.
For any pentagon, the five interior angles always add to 180(n-2) = 180(5-2) = 540 degrees. The formula 180(n-2) tells us the sum of the interior angles for any polygon with n sides.
The diagram shows the following angle values
- V = 119
- W = 47
- X = m
- Y = m
- Z = 90 (due to the square angle marker)
Both angles X and Y are equal to the same unknown value m. They are both the same measure because they both have the same arc marking.
Adding up those five angles should get us 540 as mentioned earlier
V+W+X+Y+Z = 540
119+47+m+m+90 = 540
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Let's solve for m
119+47+m+m+90 = 540
2m+256 = 540
2m = 540-256
2m = 284
m = 284/2
m = 142
Angle X has the measure of 142 degrees, and so does angle Y.
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