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77julia77 [94]
3 years ago
7

What is the volume of a cylinder with a radius of 7 and the height of 9​

Mathematics
2 answers:
castortr0y [4]3 years ago
5 0

Answer: 1,384.74 units³

Step-by-step explanation: To find the volume of a cylinder, start with the formula for the volume of a cylinder.

Volume = πr²h

Notice that our cylinder has a radius of 7 units and a height of 9 units so plugging into the formula, we have (π)(7 units)²(9 units).

Start by simplifying the exponent. 7² is equal to 7 units × 7 units or 49 units² so we have (π)(49)(9). Now, 49 × 9 is 441π units³.

So the volume of the cylinder is 441π units³.

Now, remember that π is approximately equal to 22/7 or 3.14 so we can estimate the value of the volume by plugging in 3.14 for π.

So we have (441)(3.14) which is equal to 1,384.74 units³.

So the value of the volume is approximately 1,384.74 units³.

xenn [34]3 years ago
4 0

volume of a cylinder: πr²h

volume = π(7²)(9) = 441π = 1385.44 un² approx.

answer: 1385.44 un² approx.

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3 years ago
What is the final cost for an item that cost $30 and has a tax rate of 7%?<br> *
AVprozaik [17]

Answer:

32.10

Step-by-step explanation:

7% = 0.07

30 x 0.07=2.10

30+ 2.10=32.10

Price before Taxes: $ 30.00

+ Sales Tax (7%): $ 2.10

Total Price with Tax: $ 32.10

4 0
3 years ago
Find an equation for the line tangent to the curve at the point defined by the given value of d²y/dx².​
mars1129 [50]

Answer:

Step-by-step explanation:

Given:

x = 2cost,

t = (1/2)arccosx

y = 2sint

dy/dx = dy/dt . dt/dx

dy/dt = 2cost

dt/dx = -1/√(1 - x²)

dy/dx = -2cost/√(1 - x²)

Differentiate again to obtain d²y/dx²

d²y/dx² = 2sint/√(1 - x²) - 2xcost/(1 - x²)^(-3/2)

At t = π/4, we have

(√2)/√(1 - x²) - (√2)x(1 - x²)^(3/2)

4 0
3 years ago
Find the indicated probability. round to three decimal places. a test consists of 10
Charra [1.4K]

To answer this problem, we use the binomial distribution formula for probability:

P (x) = [n! / (n-x)! x!] p^x q^(n-x)

Where,

n = the total number of test questions = 10

<span>x = the total number of test questions to pass =   >6</span>

p = probability of success = 0.5

q = probability of failure = 0.5

Given the formula, let us calculate for the probabilities that the student will get at least 6 correct questions by guessing.

P (6) = [10! / (4)! 6!] (0.5)^6 0.5^(4) = 0.205078

P (7) = [10! / (3)! 7!] (0.5)^7 0.5^(3) = 0.117188

P (8) = [10! / (2)! 8!] (0.5)^8 0.5^(2) = 0.043945

P (9) = [10! / (1)! 9!] (0.5)^9 0.5^(1) = 0.009766

P (10) = [10! / (0)! 10!] (0.5)^10 0.5^(0) = 0.000977

Total Probability = 0.376953 = 0.38 = 38%

<span>There is a 38% chance the student will pass.</span>

7 0
3 years ago
For every 1 litre of water used to make a medicine, 269ml of sucrose and 47ml of saline solution are used. Express the amount of
leonid [27]

Answer:

1000 : 269 : 47

Step-by-step explanation:

A ratio is a way of comparing the value or amount of one quantity to another.

We are to find the ration of water to sucrose to saline solution, hence, it must remain in that order.

Water : Sucrose : Saline solution

The amount of water is 1 litre (1 * 1000 ml = 1000 ml)

The amount of sucrose is 269 ml

The amount of saline solution is 47 ml

Therefore, the ratio of water to sucrose to saline solution is:

W : S : SS = 1000 : 269 : 47

Since 1000, 269 and 47 have no common factors, that is the simplest form of the ratio.

3 0
3 years ago
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