Calculate the volume. Round your answers to the nearest tenth if necessary.

Draw an example of a composite figure that has a volume between 750 cubic inches and 900 cubic inches

grigory [225]

Volume:

$V \approx 888.02in^3 \\ \\ And, \ 750in^3$

<h2>Explanation:</h2>

A composite figure is formed by two or more basic figures or shapes. In this problem, we have a composite figure formed by a cylinder and a hemisphere as shown in the figure below, so the volume of this shape as a whole is the sum of the volume of the cylinder and the hemisphere:

$V_{total}=V_{cylinder}+V_{hemisphere} \\ \\ \\ V_{total}=V \\ \\ V_{cylinder}=V_{c} \\ \\ V_{hemisphere}=V_{h}$

So:

$V_{c}=\pi r^2h \\ \\ r:radius \\ \\ h:height$

From the figure the radius of the hemisphere is the same radius of the cylinder and equals:

$r=\frac{8}{2}=4in$

And the height of the cylinder is:

$h=15in$

So:

$V_{c}=\pi r^2h \\ \\ V_{c}=\pi (4)^2(15) \\ \\ V_{c}=240\pi in^3$

The volume of a hemisphere is half the volume of a sphere, hence:

$V_{h}=\frac{1}{2}\left(\frac{4}{3} \pi r^3\right) \\ \\ V_{h}=\frac{1}{2}\left(\frac{4}{3} \pi (4)^3\right) \\ \\ V_{h}=\frac{128}{3}\pi in^3$

Finally, the volume of the composite figure is:

$V=240\pi+\frac{128}{3}\pi \\ \\ V=\frac{848}{3}\pi in^3 \\ \\ \\ V \approx 888.02in^3 \\ \\ And, \ 750in^3$

<h2>Learn more:</h2>

Volume of cone: brainly.com/question/4383003

#LearnWithBrainly

4 0

2 years ago

The pentagon below has an area of 8.3 square centimeters and a side of 2.2. What is the approximate length of the apothem? A.0.4

nalin [4]

Answer:

C. 1.5 cm

Step-by-step explanation:

A pentagon is a polygon with 5 sides.

The formula for the area of a regular polygon is

$A=\frac{1}{2}ap$

where a is the apothem and p is the perimeter. The perimeter is found by multiplying the number of sides of the figure by the length of 1 of those sides:

5(2.2) = 11

Now we have everything we need to solve for the length of the apothem.

$8.3=\frac{1}{2}a(11)$

Begin by multiplying both sides by 2 to get rid of the fraction, so

16.6 = 11a Divide both sides by 11 to get

a = 1.5090909 or

C. 1.5 cm

3 0

3 years ago

Read 2 more answers

Ppppplllllllllzzzzzzz helppppppppp -7/9 - 5/10

Lyrx [107]

Simplify 5/10 to 1/2

find the LCD of both fractions and that would be 18

make the denominators the same as the LCD

Simplify, now denominators are equal

join the denominators

simplify it now (23/-18)

convert to mixed fraction

Answer: -1 5/18.

7 0

3 years ago

PLEASE HELP !!!!!!!! WILL MARK BRAINLIEST IF CAN!

Margaret [11]

Answer:

The answer is A. You just have to plug in.

Step-by-step explanation:

5x - y/3= 13

(2,-9) and (3,-6)

5(2) - -9/3 = 13

10 + 3 = 13

13 = 13 (true)

5(3) - -6/3= 13

15+ 2 = 13

17 = 13 (wrong)

8 0

2 years ago

Food services for a school district examined the choices of side dish for students at three types of schools in the district: el

vova2212 [387]

Answer:

40%

Step-by-step explanation:

3 0

3 years ago