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
Phoenix [80]
3 years ago
14

The figure is made up of a cylinder, a cone, and a half sphere. The radius of the half sphere is 3 inches. What is the volume of

the composite figure?

Mathematics
2 answers:
guajiro [1.7K]3 years ago
6 0

Given.

Radius of the Half sphere is 3 inches.

From the figure;

Radius of half sphere= Radius of cylinder= Radius of cone=3inches

Height of cone= 4inches.

Height of cylinder=6inches.

Volume of cone=(πr²h)/3

=(π3²×4)/3

=(12π) inch³

volume of cylinder= πr²h=π3²6=54π inch³

Volume of half sphere= (4/3) π r³=π(4×3³)/3 (1/2)=π×4×9/2=18π inch³

Total area of Composite figure=(12π +54π +18π) inch³

=84π inch³

=(84)× 22/7inch³

=12×22 inch³

=264inch³

Hope it helps...

Regards;

Leukonov/Olegion.

Sergeu [11.5K]3 years ago
6 0

Answer:

The volume of the composite figure is 84π ≅ 263.89 inches³

Step-by-step explanation:

Lets revise the rules of the volume of some figures

- The composite figure consists of :

# Half sphere with radius 3 inches

# Cylinder with radius 3 inches and height 6 inches

# Cone with radius 3 inches and height 4 inches

- The volume of the sphere is 4/3 π r³

∴ The volume of the half sphere = 1/2 × 4/3 π r³ = 2/3 π r³

- The volume of the cylinder is π r² h

- The volume of the cone is 1/3 π r² h

* Now lets solve the problem

- The volume of the half sphere

∵ The radius of the half sphere = 3 inches

∵ The volume of it = 2/3 π r³

∴ The volume = 2/3 × π × (3)³ = 18π inches³

- The volume of the cylinder

∵ The radius of the cylinder = 3 inches

∵ The height of the cylinder = 6 inches

∵ The volume of it = π r² h

∴ Its volume = π × (3)² × 6 = 54π inches³

- The volume of the cone

∵ The radius of the cone = 3 inches

∵ The height of the cone = 4 inches

∵ The volume of it = 1/3 π r² h

∴ Its volume = 1/3 π × (3)² × 4 = 12π inches³

- Add all the volumes to find the volume of the composite figure

∴ The volume = 18π + 54π + 12π = 84π = 263.89 inches³

* The volume of the composite figure is 84π ≅ 263.89 inches³

You might be interested in
I need help on this question
Troyanec [42]

Hello!

In a taxi cab, the longer you ride, the more it costs. This would make a scatter plot go through Quadrant 1.

Therefore, it would have a positive relationship

I hope this helps!

5 0
3 years ago
Is (-3,0)a solution to the equation 2x+6y=-6?
sineoko [7]

Answer:

Yes

Step-by-step explanation:

 x , y

(-3 , 0)

plug in the numbers

2(-3) + 6(0) = -6    

-6 = -6

4 0
3 years ago
2.3 x 10^4 x 6.7 x 10^3 divide by <br> 5 x 10-^8
Brilliant_brown [7]

Answer:

0.3082

Step-by-step explanation:

4 0
3 years ago
5x7/8 less than or greater
Pavel [41]
5x7= 35
35> (greater than) 8
5 0
3 years ago
Read 2 more answers
Show your work.
Doss [256]

Answer:

1= 2,400 feet

2= 154 meters

3= 120 pints

4= 2. 056 centigrams

5= 16.1 C

6= 50F

7= -2.8C

1= multiply the length value by 3

2= divide the length value by 10

3= multiply the volume value by 8

4= divide the mass value by 10

5= Take the °F temperature and subtract 32. Multiply this number by 5. Divide this number by 9 to obtain your answer in °C.

6= multiply the temperature in degrees Celsius by 2, and then add 30 to get the (estimated) temperature in degrees Fahrenheit.

6 0
3 years ago
Read 2 more answers
Other questions:
  • The aspect ratio of tire P245/70R16 is <br><br> 245<br> 70<br> 16<br> 5/7
    5·1 answer
  • John says the transformation rule (x, y) = (x + 4, y + 7)
    9·1 answer
  • What is the cube root of (5x^3)(4x)^3?
    10·1 answer
  • Identify the point from the equation y + 5 = 3(x + 2)
    6·1 answer
  • A sphere is inscribed in a cylinder. Use complete sentences and geometric formulas to compare the surface area of the sphere and
    9·1 answer
  • What is the measure of an arc intercepted by an inscribed angle whose measure is 88 degrees
    9·1 answer
  • Melissa’s family is driving out of state to her grandmother’s house. They know that it takes 20 gallons of gas to get there, and
    10·1 answer
  • What two numbers multiplied together equal -420, but added together equal 1
    9·2 answers
  • Which rules define the function graphed below? (15 points cuz I'm stumped)
    6·1 answer
  • On a coordinate plane, a line goes through (0, negative 1) and (3, 1). a point is at (negative 3, 0). what is the equation of th
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!