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3 years ago

Which expression can be used to find the volume of the cylinder in this composite figure?

Mathematics

2 answers:

Nady [450]3 years ago

8 0

Answer:

The expression that can use to find the volume of the cylinder is V = Bh = π(4)²(7) ⇒ A

Step-by-step explanation:

The formula of the volume of a cylinder is V = Bh, where

B is the area of the base which is a circle, then it is B = πr²

h is the height of the cylinder

In the given figure

∵ The composite figure formed from a cylinder and a cone

∵ They have the same base which is a circle

∵ The radius of the circle is 4 cm

∴ The radius of the base of the cylinder is 4 cm

∴ r = 4 cm

→ Find the area of the base B

∵ B = πr²

∴ B = π(4)²

∵ The height of the cylinder is 7 cm

∴ h = 7 cm

→ Substitute the values of B and h in the rule of the volume above

∴ V = π(4)²(7)

∴ V = BH = π(4)²(7)

∴ The expression that can use to find the volume of the cylinder is

V = Bh = π(4)²(7)

lesya [120]3 years ago

5 0

Answer:

Step-by-step explanation:

Hope this helps:)

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Which measure is equal to 340 l a.340,000 ml b.3,400,000 ml c.0.034 ml d.3.4 ml

Whitepunk [10]

It's either A or B I'm not sure which but it is one of them thats correct sorry if this doesn't help that much

8 0

3 years ago

Need help with homework

zubka84 [21]

Answer:

5. the other angle has to be 2x because of the other lines being equals so

2x+2x+x-15=180

5x-15=180

5x=195

x=19

6. the other two angle is ajacent to the other two so

3x+17+3x+17+x-9+x-9=360

8x+16=360

8x=344

x=43

7. this ones pretty simple

2x-4+3x+5+2x+11=180

7x+12=180

7x=168

x=24

8. this one to

x+x+4+3x-9=90

5x+5=90

5x=85

x=17

Hope This Helps!!!

5 0

2 years ago

7. A cylinder and its dimensions are shown below. -18 cm 13.5 cm Which measurement is closest to the lateral surface area of the

Mars2501 [29]

Answer:

A 763cm

Step-by-step explanation:

6 0

2 years ago

Naval intelligence reports that 4 enemy vessels in a fleet of 17 are carrying nuclear weapons. If 9 vessels are randomly targete

icang [17]

Answer:

0.7588 = 75.88% probability that more than 1 vessel transporting nuclear weapons was destroyed

Step-by-step explanation:

The vessels are destroyed without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

Fleet of 17 means that $N = 17$

4 are carrying nucleas weapons, which means that $k = 4$

9 are destroyed, which means that $n = 9$

What is the probability that more than 1 vessel transporting nuclear weapons was destroyed?

This is:

$P(X > 1) = 1 - P(X \leq 1)$

In which

$P(X \leq 1) = P(X = 0) + P(X = 1)$

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 0) = h(0,17,9,4) = \frac{C_{4,0}*C_{13,9}}{C_{17,9}} = 0.0294$

$P(X = 1) = h(1,17,9,4) = \frac{C_{4,1}*C_{13,8}}{C_{17,9}} = 0.2118$

Then

$P(X \leq 1) = P(X = 0) + P(X = 1) = 0.0294 + 0.2118 = 0.2412$

$P(X > 1) = 1 - P(X \leq 1) = 1 - 0.2412 = 0.7588$

0.7588 = 75.88% probability that more than 1 vessel transporting nuclear weapons was destroyed

8 0

2 years ago

On a certain hot summer's day, 645 people used the public swimming pool. The daily prices are $1.75 for children and $2.50 for

VladimirAG [237]

Answer:

327 children and 318 adults

Step-by-step explanation:

The x be the amount of children and y be the amount of adults that were at the swimming pool. We can use this to set up a system of equations:

x+y=645

1.75x+2.50y=1367.25

Move y to the other side in the first equation to isolate x and solve the system using substitution:

x=645-y

1.75(645-y)+2.50y=1367.25

Distribute

1128.75-1.75y+2.50y=1367.25

1128.75+0.75y=1367.25

Subtract 1128.75 from both sides

0.75y=238.5

Divide both sides by 0.75

y=318

x=645-y

x=645-318

x=327

327 children and 318 adults swam at the pool that day

4 0

2 years ago