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
A jewelry box has a volume of 14 cubic inches.The area of the base is 8 square inches. what is the height
AlekseyPX
The height of the jewelry box is 1.75. because the equation of a rectangular prism is V=Bh. so we already know the volume and the base so you just divide them and you get your height. 
3 0
3 years ago
Answer the following questions.
ivolga24 [154]

Answer: 864,000‬

Step-by-step explanation:

and that's if it's multiplication

5 0
3 years ago
Write the given vector in terms of i and j.
8_murik_8 [283]
The first number is coefficient for i, and the second number is coeff. for j
=>
<0,-8> is the same as 0i-8j, or simply 8j
5 0
3 years ago
In a statewide lottery, one can buy a ticket for $1. With probability .0000001, one wins a million dollars ($1,000,000), and wit
Dahasolnce [82]

Using the expected value, it is found that the mean of the distribution equals $0.1.

  • The expected value, which is the mean of the distribution, is given by <u>each outcome multiplied by it's probability</u>.

The probabilities of <u>each outcome</u> are:

  • .0000001 probability of earning $1,000,000.
  • .9999999 probability of earning $0.

Thus, the mean is given by:

E(Y) = 0.0000001(1000000) + 0.9999999(0) = 0.1

Thus showing that the expected value is $0.1.

A similar problem is given at brainly.com/question/24855677

6 0
3 years ago
If f(x)= x and g(x) = x - 4 which translation is applied to f(x) to get g(x)
Dafna1 [17]
F(g(x)) = f(x-4) = (x-4)
g(f(x)) = g(x) = x-4
3 0
3 years ago
Other questions:
  • you are building a fence 13ft long. on monday you build 4 1/3 feet of the fence, on tuesday 5 3/4 feet. how much do you still ne
    13·1 answer
  • 1. Provide two examples of a function: (1) as a table of values and (2) as a graph. Explain the definition of a function. Be sur
    15·1 answer
  • 4. Ten outcomes are all equally likely from an event and you choose one of them at random. What is the probability that the outc
    13·2 answers
  • Anybody know the answer to this?
    11·2 answers
  • What is the value of p(x)=6x^4+2x^3-x+2 at x=0
    6·2 answers
  • Please help me I’m stuck!!!
    7·1 answer
  • Can someone help me solve this math problem?
    6·1 answer
  • HELP PLS
    15·2 answers
  • 0.00002165 in scientific notation.
    14·1 answer
  • Solve (x - 3)^2 = 5 p<br><br> please help
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!