1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alex73 [517]
3 years ago
12

Find the height of a cone when its diameter is 8 inches and the volume is 100 cubic inches

Mathematics
1 answer:
Aloiza [94]3 years ago
7 0

Answer:

\frac{75}{4\pi } inches or approximately 5.97 inches  

Step-by-step explanation:

Use the cone volume formula: V = \pir²\frac{h}{3}

The diameter is 8 inches, so the radius will be 4 inches.

Plug in the radius and volume, and solve for h

V = \pir²\frac{h}{3}

100 = \pi(4²)(\frac{h}{3})

100 = 16\pi\frac{h}{3}

Divide each side by 16\pi

\frac{25}{4\pi } = \frac{h}{3}

Cross multiply and solve for h:

4\pih = 75

h = \frac{75}{4\pi }

So, the cone's height is \frac{75}{4\pi } or approximately 5.97 inches  

You might be interested in
What’s the answer to 10=7-m
dsp73

Answer:

m=-3

Step-by-step explanation:

10=7-m

m=7-10=-3

3 0
3 years ago
Read 2 more answers
If it takes Maddox 7.5 hours to drive 375 miles, how far could he drive in 3 hours at the same rate?
stealth61 [152]

Answer:

150 miles

Step-by-step explanation:

375 divided by 7.5 is 50

50 time 3 is 150

4 0
2 years ago
Read 2 more answers
11/12 - 7/8 in fraction pls help
hjlf

Answer:

1/24

Step-by-step explanation:

We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 11 by 8, and get 88.Then we multiply 7 by 12, and get 84.

Next we give both terms new denominators -- 12 × 8 = 96.

So now our fractions look like this:

88 /96 -84 /96

Step 2

Since our denominators match, we can subtract the numerators.

88 − 84 = 4

So the answer is:

4 /96

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing it by 2...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:            

4 /96 ÷ 2 =2 /48

Let's try dividing by 2 again...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

2 /48 ÷ 2 =1 /24

Let's try dividing by 2 again...

No good. 2 is larger than 1. So we're done reducing.                                    There you have it! The final answer is:

11 /12 -7 /8=1 /24

6 0
3 years ago
Read 2 more answers
I need help solving number 17.
melisa1 [442]
Let x = amount of sales (in dollars)

The salary is $400 and there's an additional 0.06x dollars added on to get to the goal of 790. The equation is therefore

<span>400+0.06x = 790
</span>
Let's solve for x

400+0.06x = 790
<span>400+0.06x-400 = 790-400
</span>0.06x = 390
0.06x/0.06 = 390/0.06
x = 6500

The final answer is 6500

This means he must have $6,500 in sales. 
8 0
4 years ago
Which expression can be used to convert 80 dollars (USD) to Australian dollars (aud) 1 USD=1.0343 AUD 1 AUD 0.9668 USD
lesya692 [45]

Answer: 1\ \text{USD}\equiv 1.35\ \text{AUD}

Step-by-step explanation:

1 USD is equivalent to 1.35 AUD

Therefore, 80 USD is equivalent to

\Rightarrow 80\ \text{USD}\equiv 80\times 1.35\\\\\Rightarrow 108\ \text{AUD}

4 0
3 years ago
Other questions:
  • Please help thanks on my math this is my last assignment of this year thanks
    9·1 answer
  • 11 times 4 and 1 3rds
    10·1 answer
  • Can someone privately help me with a math problem
    6·1 answer
  • In the parallelogram, &lt;1=3x+15 and &lt;3=7x-5. Find the measure of &lt;2.
    15·1 answer
  • Can you help me im not that good at math and its a clear photo<br><br> y =___x^2+__x+______
    9·1 answer
  • Please help with this question, please! I don't understand it....
    6·1 answer
  • I NEED HELP ASAP!!! please show work
    8·1 answer
  • Answer all of these please
    14·2 answers
  • Tina wants to buy grass seed to cover her whole lawn, except for the pool. The pool is 7/12 m by 3 /14 m. Find the area the gras
    6·1 answer
  • An acid is prepared by mixing 400 mL of water and 100 mL of pure sulfuric acid. What is the
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!