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kicyunya [14]
4 years ago
12

Find the volume of a cylinder with a diameter of 8 inches and a height that is three times the radius. Use 3.14 for pi and round

your answer to the nearest hundredth.
Mathematics
1 answer:
ivann1987 [24]4 years ago
7 0
Step 1: Find the area of the base: pi(r^2)=3.14(8^2)=200.96
Step 2: Multiply area by height. Height= 3(8)=24
Volume= 24*200.96=<span>4823.04 inches

Hope this helps!</span>
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A circle passes through point (-2, -1) and its center is at (2, -1). Which equation represents the circle?
ludmilkaskok [199]

The choices are missing, but we can solve the problem from the given information

Answer:

The equation which represents the circle is (x - 2)² + (y + 1)² = 16

Step-by-step explanation:

The form of the equation of a circle is (x - h)² + (y - k)² = r², where

  • (h , k) are the coordinates of its center
  • r is the radius of it

∵ The coordinates of the center of the circle are (2 , -1)

∴ h = 2 and k = -1

The radius of the circle is the segment whose join the center of the circle and any point on the edge of the circle

∵ The circle passes through point (-2 , -1)

∴ The radius of the circle is the distance from the center (2 , -1)

    and the point (-2 , -1)

The y-coordinates of the two points are equal that means the radius is a horizontal segment and its length is the difference between their x-coordinates

∵ r = 2 - (-2)

∴ r = 4

Now let us substitute h, k, and r in the form of the equation of the circle

∵ (x - 2)² + (y - -1)² = (4)²

∴ (x - 2)² + (y + 1)² = 16

The equation which represents the circle is  (x - 2)² + (y + 1)² = 16

7 0
3 years ago
Ron loan was 7,500.His interest rate is 8.5% for 4 years? What is the interest for the 4 years and the total payment at the end
Alik [6]

Answer:

The answer is 3000

Step-by-step explanation:

5 0
3 years ago
According to the Centers for Disease Control and Prevention, the proportion of U.S. adults age 25 or older who smoke is 0.22. A
Dmitrij [34]

Answer: Null hypothesis :H_0:\ p=0.22

Alternative hypothesis : H_a:\ p

Step-by-step explanation:

Given claim : The proportion of U.S. adults age 25 or older who smoke : p=0.22

A researcher suspects that the rate is lower among U.S. adults 25 or older who have a bachelor's degree. i.e. p

Since the null hypothesis is a fact checked by the researcher or the experimenter that always contains a equals to sign.

∴ Null hypothesis :H_0:\ p=0.22

Alternative hypothesis : H_a:\ p

3 0
3 years ago
Find the radius of this circle.<br> A = ar2<br> r = [?] ft<br> A = 9aft?
Sergeu [11.5K]

Answer:

A = \pi . r^2

If A = 9\pift^2

\pi . r^2 = 9\pift^2

r^2 = 9ft^2

r = sqrt(9ft^2)

r = 3ft ( r>0)

Step-by-step explanation:

6 0
3 years ago
A principal of $1800 is invested at 4% intrest, compounded annually. How much will the investment be worth after 8 years?
zavuch27 [327]
So the equation would be 4\100 of 1800 every year = (4/100x1800)x8 years = 72x8 years = $576. Best of luck!
5 0
4 years ago
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