All categories

2 years ago

I HAVE A CYLINDER AND cone WITH THE

Mathematics

1 answer:

Vlad1618 [11]2 years ago

6 0

Answer:

99 in³

Step-by-step explanation:

Let the radius and height of each be r and h in. respectively.

Write an equation for the volume of cone.

Volume of cone= ⅓πr²h

⅓πr²h= 33

Multiply both sides by 3:

πr²h= 99

Volume of cylinder= πr²h

We have found the value of πr²h previously, which is 99.

Thus, the volume of the cylinder is 99 in³.

You might be interested in

Help with this algebra question

choli [55]

If two lines are perpendicular, the slope of one of the lines is the negative reciprocal of the other. Since we know the slope for one of our lines, $2$ m lets find the other:
$m=- \frac{1}{2}$

Now, lets use the point-slope formula to complete the equation of our perpendicular line:
$y-y_{1}=m(x-x_{1})$
$y-5=- \frac{1}{2} (x-2)$
$y-5=- \frac{1}{2}x+1$
$y=- \frac{1}{2} x+6$

We can conclude that our perpendicular line is $y=- \frac{1}{2} x+6$

3 0

3 years ago

Read 2 more answers

N the ordered pair (3, 1), the number 1 is the y-coordinate. true or false

yuradex [85]

Answer:

Step-by-step explanation:

True

6 0

3 years ago

Read 2 more answers

Find the 8th term of the arithmetic sequence -2x+5−2x+5, -7x+8−7x+8, -12x+11, ...

miss Akunina [59]

Answer:

-37x+26

Step-by-step explanation:

The x-coefficients have the sequence ...

-2, -7, -12, ...

which has first term -2 and common difference of (-7 -(-2)) = -5. Then the 8th x-coefficient is ...

-2 + (-5)(8 -1) = -37

The constants have the sequence ...

5, 8, 11, ...

which has first term 5 and common difference 8 -5 = 3. Then the 8th constant term is ...

5 +(3)(8 -1) = 26

The 8th term of the sequence is -37x +26.

_____

The general term of an arithmetic sequence with first term a1 and common difference d is ...

an = a1 +d(n -1)

In the above, we have used n=8 to find the 8th term.

7 0

3 years ago

Someone rides a bike at a constant speed. they go 30 miles in 2 hrs. What was their speed?

lesantik [10]

Answer:

They were going at 15 mph. Scroll down for step-by-step! :)

Step-by-step explanation:

2 hours, 30 miles. 30 divided by 2 :)

8 0

3 years ago

Read 2 more answers

can someone explain scientific notation to me? i dont know if this would be a right question but i need it to be explained

Nikitich [7]

Answer:

In step by step explanation

Step-by-step explanation:

Move your decimal until you have one non-zero number left of your deciaml point the number of times you moved you decimal to the left will be the exponent you put attached to a ten.

8 0

3 years ago