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
vladimir1956 [14]
3 years ago
11

Please answer ASAP

Mathematics
1 answer:
labwork [276]3 years ago
6 0

Hello!

The figure is made up of a cone and a hemisphere. To the nearest whole number, what is the approximate volume of this figure? Use 3.14 to approximate π . Enter your answer in the box. cm³

A 12 cm cone with a dome on top of it that has an 8 cm diameter

Data: (Cone)

h (height) = 12 cm

r (radius) = 4 cm (The diameter is 8 being twice the radius)

Adopting: \pi \approx 3.14

V (volume) = ?

Solving: (Cone volume)

V = \dfrac{ \pi *r^2*h}{3}

V = \dfrac{ 3.14 *4^2*\diagup\!\!\!\!\!12^4}{\diagup\!\!\!\!3}

V = 3.14*16*4

\boxed{V = 200.96\:cm^3}

Note: Now, let's find the volume of a hemisphere.

Data: (hemisphere volume)

V (volume) = ?

r (radius) = 4 cm

Adopting: \pi \approx 3.14

If: We know that the volume of a sphere is V = 4* \pi * \dfrac{r^3}{3} , but we have a hemisphere, so the formula will be half the volume of the hemisphere V = \dfrac{1}{2}* 4* \pi * \dfrac{r^3}{3} \to \boxed{V = 2* \pi * \dfrac{r^3}{3}}

Formula: (Volume of the hemisphere)

V = 2* \pi * \dfrac{r^3}{3}

Solving:

V = 2* \pi * \dfrac{r^3}{3}

V = 2*3.14 * \dfrac{4^3}{3}

V = 2*3.14 * \dfrac{64}{3}

V = \dfrac{401.92}{3}

\boxed{ V_{hemisphere} \approx 133.97\:cm^3}

Now, to find the total volume of the figure, add the values: (cone volume + hemisphere volume)

Volume of the figure = cone volume + hemisphere volume

Volume of the figure = 200.96 cm³ + 133.97 cm³

\boxed{\boxed{\boxed{Volume\:of\:the\:figure = 334.93\:cm^3}}}\end{array}}\qquad\quad\checkmark

_______________________

I Hope this helps, greetings ... Dexteright02! =)

You might be interested in
Determine the values of X, Y and Z on the following number line:<br> HH<br> X -11 Y 9 Z
Dmitrij [34]
-11 y 17 with z and x on the line
3 0
3 years ago
In a bag of 20 balls, 2 are pink, 7 are green, 4 are white, 5 are black, and 2 are orange. If the first ball chosen is
kow [346]

Answer:

The answer is D 5/19.

Step-by-step explanation:

There are 20 balls and one git removed then 5 are black so you put 5 over the number of balls 20.

7 0
3 years ago
Plz help me understand number 20
Alecsey [184]
-2.45 will be the write answer
3 0
2 years ago
Read 2 more answers
Here is a system of linear equations:
marysya [2.9K]
5x+4y=16 y=3/5x-3

y=mx+b <------ slope-intercept form

5x+4y=16
-5x       -5x
============
4y=-5x+16
--------------
4
============
y= -5/4+4

Slope is -5/4
y-intercept is 4

y=3/5x-3

slope is 3/5
y intercept is -3

I can't do the graph but I'm sure you can figure it out!
Hope I helped.
3 0
3 years ago
2-2n=3n+17 answer plz:
Gemiola [76]

Answer:

n=−3

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • Which property of multiplication is used in the multiplication below?
    5·1 answer
  • Can anyone help me with this ?
    14·2 answers
  • Rachel is keeping track of how much water she drinks. On Friday, she drank two bottles of water with snacks and 5 cups of water
    6·2 answers
  • Factor simole algebra 3x^2 + 48
    9·2 answers
  • Arlene is testing whether school is more enjoyable when students are making high grades. She asked 100 students if they enjoyed
    11·1 answer
  • Using the distributive property to transform 4(x +3) = 3(3x -1) how do I substitute 3 for x to see if it’s a true statement?
    6·2 answers
  • Two trains leave the station at the same time, one heading west and the other east. The westbound train travels at
    12·2 answers
  • Alarger number is 2 more than 4 times a smaller number. The larger number is also 8 more than 2 times the smaller number. 4x+2 y
    5·1 answer
  • Can someone please help me with this because I don’t get it
    9·2 answers
  • Please help find them <br>1 AB<br><br>2 BC​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!