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3 years ago

Complete the derivation of the formula for a cylinder

Mathematics

1 answer:

viva [34]3 years ago

4 0

Answer:

2r(2r)

Pi/4

Pi times r cubed

Step-by-step explanation:

Believe it or leave it

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a cone with a radius 3 units is shown below. it’s volume is 57 cubic units. find the height of the cone

ipn [44]

Given:

Given that the radius of the cone is 3 units.

The volume of the cone is 57 cubic units.

We need to determine the height of the cone.

Height of the cone:

The height of the cone can be determined using the formula,

$V=\frac{1}{3} \pi r^2 h$

Substituting the values, r = 3 and V = 57, we get;

$57=\frac{1}{3} (3.14) (3)^2 h$

Simplifying the terms, we get;

$57=\frac{1}{3} (3.14) (9) h$

Multiplying both sides of the equation by 3, we get;

$171= (3.14) (9) h$

$171=28.26 h$

Dividing both sides of the equation by 28.26, we get;

$6.05=h$

Thus, the height of the cone is 6.05 units.

8 0

3 years ago

in a certain town there are 30000 registered voters, of whom 12000 are Democrats. A survey organization is about to take a simpl

mario62 [17]

Answer:

400.

Step-by-step explanation:

The following data were obtained from the question:

Total number of Registered voters = 30000

Total number of Democrats = 12000

Next, we shall determine the percentage of Democrats in the registered voters.

This can be obtained as follow:

Percentage of Democrats = number of Democrats / Total number of registered voters x 100

Percentage of Democrats = 12000/30000 x 100

Percentage of Democrats = 40%

Now, we can obtain the expected value of percentage of Democrats in the 1000 sample as follow:

Percentage of Democrats = 40%

Total number of Sample = 1000

Number of Democrats in the sampl=..?

Percentage of Democrats = number of Democrats in sample / Total number of sample x 100

40% = number of Democrats in sample/1000

Cross multiply

Number of Democrats in sample

= 40% x 1000

= 40/100 x 1000

= 400

Therefore, the expected number of Democrats in the sample is 400.

4 0

3 years ago

Help ASAP, WILL MARK BRAINLIEST!! please look at image before answering!

Ivahew [28]

Answer:

To know what the ratio for the cos of theta, we actually have to see the adjacent and hypotenuse values. cos=adjacent/hypotenuse.

Step-by-step explanation:

3 0

3 years ago

Please help on question 17 with step by step instructions Thanks in advance xx

shutvik [7]

Let x = Initial Price

If we increase x by 5%, we are adding 0.05x

Therefore, the new price = x + 0.05x = 1.05x

If the ticket has increased by £2.30, £2.30 is 5% of the initial price, or 0.05x

0.05x = 2.30

x = 2.30/0.05

x = 46

Therefore, the price of the ticket before the increase was £46

You can also check this backwards by doing 46*0.05 = 2.30

6 0

3 years ago

Help me solve this please -22-x=5+6x+9

ollegr [7]

Answer: x = -5 1/7

Step-by-step explanation:

-22 - x = 5 + 6x + 9

First, combine the like terms 5 and 9

5 + 9 = 14

-22 - x = 14 + 6x

Add x to each side

-22 = 14 + 7x

Subtract 14 from each side

-36 = 7x

Divide each side by 7

x = -5 1/7 (Yes, a fraction.)

8 0

3 years ago