All categories

3 years ago

A cone has radius 9 and height 12. A frustum of this cone has height 4.

Mathematics

1 answer:

Rom4ik [11]3 years ago

3 0

The radii of the frustrum bases is 12

Step-by-step explanation:

In the figure attached below, ABC represents the cone cross-section while the BCDE represents frustum cross-section

As given in the figure radius and height of the cone are 9 and 12 respectively

Similarly, the height of the frustum is 4

Hence the height of the complete cone= 4+12= 16 (height of frustum+ height of cone)

We can see that ΔABC is similar to ΔADE

Using the similarity theorem

AC/AE=BC/DE

Substituting the values

12/16=9/DE

∴ DE= 16*9/12= 12

Hence the radii of the frustum is 12

You might be interested in

A 25 ft. ladder resting against the side of a building forms a right triangle with the ground. The bottom of the ladder is 7 ft.

ruslelena [56]

Answer:

The correct answer is 24

Step-by-step explanation:

to solve this you will need to use the pathagreom theorum

a^{2}+b^{2}=c^{2}

A= one side lenth

B= the secons side lenth

C= hypotnuse

It is helpfull to draw out the situation

you know that the latter is 25 ft, that is your hypotnuse

you also know that the 7 ft away from the base of the building is one of the side lenths, lets call it side a

so plug the numbers into the equation

7^2 + b^2 = 25 ^2

you leave b^2 alone because that is the side you are trying to find

now square 7 and 25 but leave b^2 alone

49 + b^2 = 625

now subtract 49 from both sides

b^2 = 576

now to get rid of the square of b you have to do the opposite and square root both sides removing the square of the B and giving you the answer of..........

B= 24

Hope this helped!! I tryed to explain it as simpil as possiable

6 0

2 years ago

Read 2 more answers

Food inspectors inspect samples of food products to see if they are safe. This can be thought of as a hypothesis test with the f

Molodets [167]

Answer:

b. type II

Step-by-step explanation:

given that food inspectors inspect samples of food products to see if they are safe. This can be thought of as a hypothesis test with the following hypotheses.

H0: the food is safe

Ha: the food is not safe

It was concluded from the hypothesis test that the food is safe while it was not actually safe.

This is a case of false acceptance of null hypothesis when it is false.

In hypothesis test, there are two errors. a type I error is the rejection of a true null hypothesis while a type II error is the non-rejection of a false null hypothesis

So this is type II error because we did not reject a false null hypothesis.

8 0

3 years ago

Complete the chart to find the mean,variance,and standard deviation. 45 340 400 825

hoa [83]

Answer:

A. Mean = 402.5

B. Variance = 77,556.25

C. Standard Deviation = 278.49

Step-by-step explanation:

Let's calculate the mean, variance and standard deviation of the set of numbers given:

A. Mean = (45 + 340 + 400 + 825)/4 = 1,610/4 = 402.5

B. Variance [(45 - 402.5)² + (340 - 402.5)² + (400 - 402.5)² + (825 - 402.5)²]/4 = [(127,806.25 + 3,906.25 +6.25 + 178,506.25/4 = 77,556.25

C. Standard Deviation = √Variance = √77,556.25 = 278.49

7 0

3 years ago

The volume of a sphere can be found using the formula V = πr . If the sphere has a diameter of 10x y z mm, what is the volume of

viva [34]

Answer:

500πx³y³z³

Step-by-step explanation:

Volume of a sphere = 4πr³

r is the radius of the sphere

Given

Diameter of the sphere = 10xyz mm

Radius = diameter/2

Radius = 10xyz/2

Radius = 5xyz

Substitute the radius into the formula

Volume of the sphere = 4π(5xyz)³

Volume of the sphere = = 4π(125)x³y³z³

Volume of the sphere = 500πx³y³z³

Hence the volume of the sphere is 500πx³y³z³ mm³

8 0

3 years ago

A 9 kilogram bag of animal feed costs $45. What is the unit price per kilogram?

kotykmax [81]

The unit price per kg is $5, to find this divide the 9 kilograms into the price $45 the answer is what each kilogram is worth

6 0

3 years ago