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
What are the steps to 68 times 49
Anastaziya [24]

so basically what you would have to do is set up your numbers. it would look something like this. 68

                                    × 49

                                 -------------

and would then multiply 9 by 8, 9 by 6. put it down below the line while making sure to carry the numbers if need be. then do the same with the 4 times 8, and 4 by 6.

3 0
3 years ago
Estimate the product. Solve using an area model and the standard algorithm. Remember to express your products in standard form.
snow_tiger [21]

Answer:

Step-by-step explanation:

Using the area model and standard algorithm, we have:

                332   (tenths)

         <u> ×       21  </u>

                332

        <u>      664     </u>

        <u>      6972  </u> tenths = 697.2

<u />

              30      +      3      tenths

     1       300           32         332

    20     600           64         664

33.2 × 21 =<u>    30    </u> × <u>    1     </u>  =  <u>      30     </u>

8 0
3 years ago
Estimate 76.216+66.36 by first rounding each number to the nearest whole number.
xeze [42]

Answer:

142

Step-by-step explanation:

  • Round the numbers to their nearest WHOLE NUMBER.

76.216=76\\66.36=66

  • Then ADD

76+66=142

6 0
3 years ago
Kailee had $94. She paid $32 for her guitar lessons. Then she earned $14 raking leaves. How much money does Kailee have now?
Monica [59]
$94 - $32= $62 + $14= $76. :)
7 0
3 years ago
Read 2 more answers
Oscar is comparing lengths and weights of hamsters to see if there is a relationship between the two. Which answer shows the bes
ira [324]

Answer:

scatter plot :)

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Subtract the quotient of 15/3 from the sum of 33 and 7
    10·1 answer
  • If $850 is deducted each month for 12 months from your checking account to pay your mortgage, what impact will it have on your c
    10·1 answer
  • Jose had the following division problem for homework. What is the quotient?
    7·2 answers
  • Teresas restraunt bill comes to $29.99 before tax. If the sales tax is 6.25% and she tips the waiter 20%. What is the total cost
    11·1 answer
  • Theo's mom broght a eight-pack of juice boxes at the store for $4. fin the unit rate for the juice boxes.
    5·1 answer
  • 54 is 120% of what number? Explain please!
    11·2 answers
  • Solve for x and y simultaneous<br>3x - 5y = 3<br>y-2x = 5<br><br>​
    6·1 answer
  • Please help me I need it it is my last question
    7·2 answers
  • What is the midpoint of the segment below?
    11·1 answer
  • Julie has 81 pieces of jewelry
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!