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elena55 [62]
2 years ago
5

A cylinder fits inside a square prism as shown. For every cross section, the ratio of the area of the circle to the area of the

square is StartFraction pi r squared Over 4 r squared EndFraction or StartFraction pi Over 4 EndFraction.
A cylinder is inside of a square prism. The height of the cylinder is h and the radius is r. The base length of the pyramid is 2 r.

Since the area of the circle is StartFraction pi Over 4 EndFraction the area of the square, the volume of the cylinder equals

StartFraction pi Over 2 EndFraction the volume of the prism or StartFraction pi Over 2 EndFraction(2r)(h) or πrh.
StartFraction pi Over 2 EndFraction the volume of the prism or StartFraction pi Over 2 EndFraction(4r2)(h) or 2πrh.
StartFraction pi Over 4 EndFraction the volume of the prism or StartFraction pi Over 4 EndFraction(2r)(h) or StartFraction pi Over 4 EndFractionr2h.
StartFraction pi Over 4 EndFraction the volume of the prism or StartFraction pi Over 4 EndFraction(4r2)(h) or Pir2h.
Mathematics
2 answers:
tensa zangetsu [6.8K]2 years ago
5 0

Answer:

the answer is D

Step-by-step explanation:

Eva8 [605]2 years ago
3 0

Answer:

d

Step-by-step explanation:

i took the test

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During a college fun-fair, the entrance fee for students was $12 and for teachers (and their family members) it was $30. 75 peop
solmaris [256]

Answer:

25 Students attended and 50 teachers and their family members attended

Step-by-step explanation:

50x30=1500

25x12=300

1500+300=1800

Hope this helped :)

3 0
2 years ago
A lake near the Arctic Circle is covered by a sheet of ice during the cold winter months. When spring arrives, the ice starts to
hichkok12 [17]

Answer: 1.5 meters


Step-by-step explanation:

Given: A lake near the Arctic Circle is covered by a sheet of ice during the cold winter months. S

S(t) models the ice sheet's thickness (in meters) as a function of time t (in weeks) S(t)=-0.25t+4

if we put x=0, then

S(0)=-0.25(0)+4\\=4\ meters

So 4 meters is the initial thickness

To find the thickness after 6 weeks, put x=6 we get

S(6)=-0.25(6)+4\\=-1.5+4=2.5\ meters

Decrease in thickness every 6 weeks= 4-2.5=1.5\ meters


3 0
2 years ago
Read 2 more answers
What is the scientific notation of 0.0121
jek_recluse [69]
You move to the right, so the exponent is gonna be negative.
1.21 * 10-²
6 0
2 years ago
"How much do students pay, on average, for textbooks during the first semester in college? From a random sample of 400 students
dezoksy [38]

Answer: The margin of error = 3.71, confidence interval = (354.04, 361.46) and it means that mean cost is lies within the confidence interval.

Step-by-step explanation:

Since we have given that

Sample size = 400

Mean = $357.75

Standard deviation = $37.89

At 95% confidence level, z = 1.96

We first find the margin of error.

Margin of error is given by

z\times \dfrac{\sigma}{\sqrt{n}}\\\\=1.96\times \dfrac{37.89}{\sqrt{400}}\\\\=3.71

95% confidence interval would be

\bar{x}\pm \text{margin of error}\\\\=357.75\pm 3.71\\\\=(357.75-3.71,357.75+3.71)\\\\=(354.04,361.46)

Hence, the margin of error = 3.71, confidence interval = (354.04, 361.46) and it means that mean cost is lies within the confidence interval.

7 0
2 years ago
Find the sum and product of the roots of the equation 5x^2+11x-3=0 ?
DanielleElmas [232]
I hope this helps you




disctirminant=b^2-4ac


b=11


a=5


c= -3


disctirminant =11^2-4.5. (-3)


disctirminant =121+60


disctirminant =181


x1=-11+ square root of 181/2.5


x2=-11- square root of 181/2.5
5 0
2 years ago
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