Answer:
Surface area = 663π in².
Volume = (676/3)π in² ≈ 225.33 π in²
Explanation:
1) We know the radius and the lateral area.
2) With the radius you can find the areas of the top and the bottom.
For that, you use the formula:
area of the top = area of the bottom = π r²
∴ π (13 in)² = 169π in² (each)
3) Then, the surface area is the sum of the lateral area and the two bases (top and bottom)
surface area = lateral area + bottom area + top area = 325π in² + 2×169π in² = 663π in².
3) You can also find the height of the cylinder.
Use the formula: lateral area = 2π r h
∴ h = lateral area / [2 π r]
⇒ h = 325 π / [ 2π (13) ] = 12.5 in
4) With the height you can find the volume.
Use the formula: V = (4/3) π r³
∴ V = (4/3) π (13 in)³ = (676/3)π in² ≈ 225.33 π in²
A. Mr. Kent interviewed the 54 students as they are going to leave the school, it is not considered to be a random sample. It is because a random sample is when a set is taken from a population. Mr. Kent interviewed the 54 who are going to leave, meaning, he didn't take a set out of that 54, he took all of them. So it is not a random sample.
b. The question that Mr. Kent asked is considered to be a leading question, so it does not seem biased.
c. If there are 54 respondents.
51 = yes, the rest is no.
= 54 - 51 = 3
= 3 is now divided to 54 = 3/54
= giving an answer of 0.0555
= 0.0555 x 100
= 5.6%
= The percent of responses that says 'no' is 5.6%
Answer:
Step-by-step explanation:
n = 7 so it is:
5(7) - 4
= 35 - 4
= 31.
Answer:
All
Step-by-step explanation:
Answer:
The new ramp must be 54 inches long than the old ramp to meet the requirement of the new law
Step-by-step explanation:
Old height to length ratio is:
h : l = 2 : 15.
Height of old ramp h = 12
Length of old ramp can be find out by putting h = 12 in the above ratio
Length of old ramp = 90
Height to length ratio by current law:
h : l = 1 : 12
Height will be the same i.e. h = 12
Length of new ramp = 144
How much longer the new ramp should be to meet the new ratio law:
New length - Old length = 144 - 90 = 54 inches
