All categories

3 years ago

(08.01 MC)

Mathematics

1 answer:

Brilliant_brown [7]3 years ago

3 0

Answer:

d. 72 in³

Step-by-step explanation:

To find the volume of a cylinder that a cone of volume 24 cubic inches fits in exactly inside of, we will follow the steps below:

From the question volume of the cone = 24 cubic inches

volume of a cone = $\frac{1}{3}$ πr²h

and volume of a cylinder = πr²h

This implies

volume of a cone = $\frac{1}{3}$ πr²h

= $\frac{1}{3}$ (volume of a cylinder)

volume of a cone = $\frac{1}{3}$ (volume of a cylinder)

24 = $\frac{1}{3}$ (volume of a cylinder)

multiply both-side of the equation by 3

24×3 = $\frac{1}{3}$ (volume of a cylinder)

72 =volume of a cylinder

Therefore volume of the cylinder that the cone fits exactly inside of is 72 cubic inches

You might be interested in

Janice listed the integers below on the chalkboard. Which of these integers has the greatest opposite? 1, –6, 11, –10, –8, 9, 5

muminat

-10 because its a negative and that's the opposite of the greatest itreger

8 0

3 years ago

If 7x=3y and 5y=7z then X/Z?

Aleks04 [339]

Answer:

3/5=x/z

Step-by-step explanation:

7x=3y

7(3)=3(7)

21=21

5y=7z

5(7)=7z (plug in the seven from the first step)

35=7z

then divide both sides by 7

5=z

therefore, X/Z=3/5

7 0

3 years ago

What is the median of the data set? 32, 41,43,50,70,73,80,88

Jobisdone [24]

Answer:

hope this helps

have a good day :)

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Use the function f(x) to answer the questions.

frutty [35]

Part A

$-16x^2 + 60x+16=0\\\\4x^2 - 15x-4=0\\\\(4x+1)(x-4)=0\\\\x=-\frac{1}{4}, 4$

Part B

The vertex of the graph will be a maximum because the leading coefficient is negative.

The x coordinate of the vertex is $-\frac{60}{2(-16)}=\frac{15}{8}$ .

When x=15/8, $f\left(\frac{15}{8} \right)=\frac{289}{4}$ .

So, the vertex has coordinates $\left(\frac{15}{8}, \frac{289}{4} \right)$

Part C

Plot the two x-intercepts and the vertex and then draw a curve in the shape of a parabola passing through them.

The graph is in the attached image.

3 0

2 years ago

Read 2 more answers

every 5 1/2 cups of flour weighs 1 9/16 pounds. use a unit rate to show how u could determine if there are more than lee than 35

umka21 [38]

Okay. So to find the unit rate,divide pounds of flour by the number of cups. Turn the mixed numbers into improper fractions, which are 11/2 and 25/16. To divide fractions, keep the fraction the same, change the division symbol into multiplication, and flip the second fraction over. Then, multiply straight across. 11/2 * 16/25 is 176/50 or 3 13/25 in simplest form. To find out if there are more or less than 35 cups of flour in a 10-pound bag, you can round the number to the nearest whole number and multiply it by 10. For the exact unit rate, there are 3 13/25 cups of flour per 1 pound bag. Now, multiply that number by 10. Going back to improper fractions, 176/50 * 10/1 is 1,760/50 or 35 1/5 in simplest form. There are more than 35 cups of flour in a 10-pound bag of flour.

7 0

3 years ago