Mathematics, 25.12.2019 11:31 carleenespriu

Pls ! 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

Pls ! the figure is made up of a cone and a hemisphere. to the nearest whole number, what is the a

Answers: 1

Show answers

Answers

Answer from: BardiFan

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

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:

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

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

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

$V = \dfrac{401.92}{3}$

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

What is the approximate volume of this figure?

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

$\boxed{\boxed{\boxed{V = 334.93\:cm^3 \to Volume\:of\:the\:figure \approx 335\:cm^3 }}}\end{array}}\qquad\quad\checkmark$

The volume of the figure is approximately 335 cm³

_______________________

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

Answer from: rina62

The total volume of the figure is 603 cubic centimeters.

The figure is consists of the cone and the hemisphere in which dimensions of the figure are given.

The diameter of the hemisphere and the cone is 8 cm.

The height of the cone is 12 cm.

We need to determine the volume of the given figure.

The volume of the given figure is the addition of the volume of the cone and the hemisphere.

Thus,

$\rm{Total\;Volume}=Volume\; of\; Cone +Volume\;of\; Hemisphere$

Calculate the volume of cone and hemisphere separately and add up for the final result.

$\begin{aligned}\rm{Volume \;of\; cone}&=\dfrac{1}{3} \pi r^2h\\&= \dfrac{1}{3} \times3.14 \times4^2\times12\\&=200.96\end{aligned}$

$\begin{aligned}\rm{Volume \;of\; hemisphere}&=2 \pi r^3\\&= 2 \times3.14 \times4^3\\&=401.92\end{aligned}$

$\begin{aligned}\rm{Total\;Volume}&=200.96+401.92\\&=602.88\\&=603\;\rm{cm^3} \end{aligned}$

Thus, the total volume of the figure is 603 cubic centimeters.

To know more about the volume, please refer to the link:

link

Answer from: Quest

can i get the link to the assignment?

step-by-step explanation:

Answer from: Quest

the 2 figures are congruent bc if you reflect abcd over the y axis then over the d axis the figures overlap

(02.05 mc) determine if the two figures are congruent and explain your answer.

Another question on Mathematics

Mathematics, 21.06.2019 19:30

If chord ab is congruent to chord cd, then what must be true about ef and eg?

Answers: 1

Answer

Mathematics, 21.06.2019 21:30

Apool measures 100 meters by 100 meters a toddler inside the pool and trows a ball 60 centimeters from one edge of the pool.how far is the ball from the opposite edge of the pool

Answers: 1

Answer

Mathematics, 21.06.2019 23:00

Type the correct answer in each box. use numerals instead of words. the average number of subscribers to an online magazine each year from 2010 to 2015 is given in the table below. the average number of subscribers to the online magazine in 2010 was the percent increase in the average number of subscribers in 2011 to the average number of subscribers in 2012 was %. the maximum average number of subscribers to the online magazine in the years shown was

Answers: 2

Answer

Mathematics, 22.06.2019 01:10

Is the response to the survey question "did you smoke in the last week question mark "response to the survey question "did you smoke in the last week? " a discrete random variable, a continuous random variable, or not a random variable?

Answers: 1

Answer

You know the right answer?

Pls ! the figure is made up of a cone and a hemisphere. to the nearest whole number, what is the a...

Questions

Mathematics, 20.01.2021 19:50

Free points Free points...