7 times a number is at least 12 more than three times the number

What is the volume of the composite figure? (Round to the nearest hundredth. Use 3.14 for Pi.)

Natasha2012 [34]

The volume of composite figure is 385.17 cubic centimeters, if a half sphere and cone have a radius of 4 centimeters and height of 15 centimeters.

Step-by-step explanation:

The given is,

Composite figure is combination of a half sphere and cone

Both have a radius of 4 centimeters

The cone has a height of 15 centimeters

Step:1

Volume of composite figure = Volume of half sphere + Volume of cone

Step:2

Formula for volume of semi sphere,

$Volume of half sphere, V_{Half sphere} = \frac{2}{3} \pi r^{3}$

Where, r - Radius of Half sphere,

From given, r = 4 centimeters

$V_{Half sphere} = \frac{2}{3} \pi 4^{3}$

$= (0.6667) (3.14) (64)$ (∵ $\pi$ = 3.14 )

$V_{Half sphere}$ = 133.9733 cubic centimeters

Formula for volume of cone,

$Volume of cone, V_{cone} = \frac{1}{3} \pi r^{2} h$

where, r - Radius of cone

h - Height of cone

From given,

r = 4 centimeters

h = 15 centimeters

Volume of cone,

$V_{cone} = \frac{1}{3} \pi 4^{2}(15)$

$= (0.333333) (3.14)(16)(15)$ (∵ $\pi$ = 3.14 )

$V_{cone}$ $= 251.1997$ cubic centimeters

Step:3

Volume of composite figure = 133.9733 + 251.1997

Volume of composite figure = 385.17 cubic centimeters

Result:

The volume of composite figure is 385.17 cubic centimeters, if a half sphere and cone have a radius of 4 centimeters and height of 15 centimeters.

4 0

3 years ago

Read 2 more answers

Question down below¡

lutik1710 [3]

Pattern A starts with 20 and substracts 3
First number = 20
Second number = 20 - 3 = 17
Third number = 17 - 3 = 14
Fourth number = 14 - 3 = 11

Pattern B starts with 10 and adds 2
First number = 10
Second number = 10 + 2 = 12
Third number = 12 + 2 = 14
Fourth number = 14 + 2 = 16

Now join pattern A and B
First combination = (20,10)
Second combination = (17,12)
Third combination = (14, 14)
Fourth combination = (11, 16)

The answer is d. (20,10), (17,12), (14,14), (11,16)

3 0

2 years ago

9. Five times a number is the same as the number added to five. What is the<br> number?

Alenkinab [10]

Let x be the number

5x = x + 5

subtract x from both sides

5x - x = 5

4x = 5

Divide both sides by 4

4x/4 = 5/4

x = 5/4

=======

Check:

5 * (5/4) = (5/4) + 5

25/4 = 1.25 + 5

6.25 = 6.25

Hope it helps . Note that I am a sixth grade student and I don’t know anything . I got help from somebody

4 0

2 years ago

Which figure has exactly 4 lines of symmetry?

BigorU [14]

A square should have 4 lines of symmetry

7 0

3 years ago

Read 2 more answers

Which expression is equivalent to<br> 3V64k^12

scoundrel [369]

Answer:

I think the answer is C