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3 years ago

A cone with radius 3 units is shown below. its volume is 57 cubic units

Mathematics

1 answer:

Naddika [18.5K]3 years ago

7 0

Answer:

6.05 units

Step-by-step explanation:

We are given that radius,r=3 units

Volume of cone=57 cubic units

We have to find the height of cone.

We know that

Volume of cube= $\frac{1}{3}\pi r^2 h$

Where $\pi=3.14$

Using the formula

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

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

h=6.05 units

Hence, the height of cone=6.05 units

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The Carousel in the National Mall has 4 rings of horses. Kelly is riding on the inner ring, which has a radius of 9 feet. Maya i

Alexeev081 [22]

Maya travels $4.19 feet/sec$ faster than Kelly !

Difference in distance is : $106.76-56.52 = 50.24 feet$

<u>Step-by-step explanation:</u>

Here we have , The Carousel in the National Mall has 4 rings of horses. Kelly is riding on the inner ring, which has a radius of 9 feet. Maya is riding on the outer ring, which is 8 feet farther out from the center than the inner ring is. We need to find In one rotation of the carousel, how much farther does Maya travel than Kelly . Let's find out:

Kelly is riding on the inner ring, which has a radius of 9 feet

Total distance traveled by Kelly is circumference of circle with radius 9 feet i.e.

⇒ $Distance = 2\pi r$

⇒ $Distance = 2(3.14) 9$

⇒ $Distance = 56.52feet$

Maya is riding on the outer ring, which is 8 feet farther out from the center than the inner ring .

Total distance traveled by Maya is circumference of circle with radius (8+9=17) feet i.e.

⇒ $Distance = 2\pi r$

⇒ $Distance = 2(3.14) 17$

⇒ $Distance = 106.76feet$

Therefore , Difference in distance is : $106.76-56.52 = 50.24 feet$

Now , Speed of both is give by

⇒ $Speed_k_e_l_l_y=\frac{56.52}{12} = 4.71 feet/sec$ And ,

⇒ $Speed_M_a_y_a=\frac{106.76}{12} = 8.90 feet/sec$

Faster Maya travels = 8.90-4.71 = 4.19

So , Maya travels $4.19 feet/sec$ faster than Kelly !

8 0

4 years ago

A line passes through point (3, 7) and has a slope of 3/4. the equation of the line is . if point a (x,5) lies on the line, the

kvv77 [185]

7 = 3/4 (3) + c
28 = 9 + 4c
4c = - 19
c = - 19/4
y = 3/4x - 19/4

5 = 3/4x - 19/4
3/4x = 39/4
x = 13

5 0

3 years ago

Kathi and Robert

Ad libitum [116K]

10.5x + 3y = 811.5

x + y = 97

y = 97 - x

3y = 291 - 3x

7.5x + 291 = 811.5

7.5x = 811.5 - 291

x = 520.5 / 7.5

x = 69.4

69 were sold at the original price

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3 years ago

Please help me out with those questions...

Taya2010 [7]

Answer:

Step-by-step explanation:

6 0

3 years ago

Choose True or False for each statement.

madreJ [45]

Answer:

1) True

2) True

3) False

4) True

Step-by-step explanation:

1) You can compare irrational numbers using rational approximations

The above statement is true as given two irrational numbers which can be expressed in decimal format, by rounding up the numbers to a certain number of decimal places, the values of the irrational numbers will be different

2) Square roots can be compared and ordered by comparing and ordering the numbers underneath the radical symbol

The above statement is true as the the values of the numbers under the radical symbol are directly proportional to the square root

3) You cannot compare the value of rational and irrational numbers

The above statement is false because the value of an irrational number can be found between two rational numbers. Therefore, the value of an irrational number is higher than the rational number that precedes it on the left of a number line

4) The closer the numbers being compared, the more decimal places you need to use

The above statement is true as a higher level of detailed value of the numbers being compared will be required given the closeness in value of the numbers being compared.

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3 years ago