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
yulyashka [42]
3 years ago
9

a cone has the height of 20 centimeters and a volume of 4,170 cubic centimeters. what is the area of the base of the cone

Mathematics
2 answers:
marishachu [46]3 years ago
5 0

Hey there! I'm happy to help you!

The formula for the volume of a cone is V=1/3(πr²h). Now, to make it look ungibberishy and all numbery...

The volume of the cone is equal to the area of the base (the circle on the bottom whose area formula is pi multiplied by the radius squared) multiplied by the height and then divided by three.

In our case, though, we already have the volume. We need to undo the equation so that we can find the area of the circle base.

In our equation the last thing we do is divide by three. So, we will want to multiply by three to undo this.

4,170*3= 12510

The other step we took was multiply the base by the height, which is 20 centimeters.  To get our base, we will divide by the height instead!

12510/20= 625.5

Therefore, the area of the base of the cone is 625.5 centimeters squared.

I hope that this helps! Have a wonderful day!

Varvara68 [4.7K]3 years ago
3 0

Answer:

625.5 cm^2

Step-by-step explanation:

The volume of a cone is

V = 1/3 B h

4170 = 1/3 B 20

4170 = 20/3 B

Multiply each side by 3/20

4170 *3/20 = B

625.5 = B

You might be interested in
A supervisor has determined that the average salary of the employees in his department is $40,000 with a standard deviation of $
mihalych1998 [28]

The z-score for 36,000 is (36,000 - 40,000) / (15,000 / √25) = -1.333

The z-score for 42,000 is (42,000 - 40,000) / (15,000 / √25) = 0.6667

P(36,000 < x < 42,000) = P(-1.3333 < z < 0.6667)

P(z < 0.6667) - P(z < -1.3333)

0.7475 - 0.0913

0.6562

4 0
3 years ago
I need help plz ????
julsineya [31]
The answer is 128.605 m^2

6 0
3 years ago
a person walks 80 feet in 40 seconds. what equation represents this relationship. how many feet will the person walk in 10 secon
larisa [96]

Answer:

20 feet

Step-by-step explanation:

\frac{80 feet}{40 seconds}  = \frac{x feet}{10 seconds}

Simplify \frac{80}{40}

\frac{80}{40} = \frac{2}{1}

Every 1 second, a person will walk 2 feet.

\frac{x}{10} = \frac{20}{10}

X = 20 feet

6 0
3 years ago
Read 2 more answers
Instructions : Find the slope of the line through the points (4, - 4) and (9, - 4) . Make sure to simplify fractions and enter y
Anettt [7]

Answer:

0 Slope

Step-by-step explanation:

Using the slope formula(y1 - y2)/(x1 - x2), we have 0/5 = 0.

3 0
3 years ago
Plz help there are no answer choices
iogann1982 [59]
It’s most likely 9, because width grew from 4-6 and that’s adding 2. So 7+2=9
4 0
3 years ago
Other questions:
  • Breaking stuff let {xi} n i=1 be a sample of random variables of size n with the property that xi ∼ n (µ, σ2 ) and cov(xi , xj )
    13·1 answer
  • If point H is translated 4 units to the left and 8 units up, what are the coordinates of H?
    12·2 answers
  • Adrian makes a large pan of brownies. He cuts them into 5 even columns and 4 even rows. How many brownies does he have?
    8·1 answer
  • Write this equation in standard form<br> y + 4 = 2/3 (x+7)
    15·2 answers
  • F(x) = 3x-1 and g(x)=2x^2
    12·1 answer
  • Calculate the unit price ($/g) of a 20g jar of sugar. The cost of a jar is $5.00.
    10·1 answer
  • How man inches does the floor water rose in 1 day ? Answer as a fraction or round you decimal to the hundredths place
    13·1 answer
  • By what number must you multiply a quantity in order to increase it by 25% in a single step?
    8·1 answer
  • R.
    6·1 answer
  • A true-false test has 10 questions. If Lisa answers all
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!