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
Natali [406]
3 years ago
12

A tin man has a head that is a cylinder with a cone on top. The height of the cylinder is 12 inches and the height of the cone i

s 6 inches. The radius of both the cylinder and the cone is 4 inches. What is the volume of the tin man's head in terms of pi? A. 192pi inches3 B. 224 pi inches3 C. 384pi inches3 D. 912pi inches3
Mathematics
1 answer:
professor190 [17]3 years ago
3 0
The general formula of volume
v cylinder = π × r² × t
v cone = 1/3 × π × r² × t

Calculate the volume of cylinder
v cylinder = π × r² × t
v cylinder = π × 4² × 12
v cylinder = π × 16 × 12
v cylinder = 192π

Calculate the volume of cone
v cone = 1/3 × π × r² × t
v cone = 1/3 × π × 4² × 6
v cone = 1/3 × π × 16 × 6
v come = 32π

Calculate the volume of hat
v hat = v cylinder + v cone
v hat = 192π + 32π
v hat = 224π

The volume of the hat is 224π in³
You might be interested in
Running out of time! Please help and show work! Thank you! Will mark brainliest!
VikaD [51]
<h3>​(-3j²k³)²(2j²k)³</h3>

(-3j²k³)²(2j²k)³ = <em>When a power is raised to a power the exponents have to be multiplied.​</em>

​= (-3²j⁽²*²⁾k⁽³*²⁾)(2³j⁽²*³⁾k³) = <em>We can take out the constants</em>

​= (9)(8)(j⁴k⁶)(j⁶k³) = <em>We can group the same variables</em>

= 72(j⁴j⁶)(k⁶k³) = <em>When multiplying two powers that have the same base, you have to add the exponents.​</em>

= 72 j⁽⁴⁺⁶⁾k⁽⁶⁺³⁾ = 72j¹⁰k⁹​

​Answer = 72j¹⁰k⁹

​Hope this helps!​​​​

​​\textit{\textbf{Spymore}}​​​​​​

5 0
3 years ago
Is a triangle with the angles 60 degrees, 40 degrees, and 80 degrees unique?
oksano4ka [1.4K]

Hello,

No a triangle with these angles are not unique. This is because every triangle is supposed to have 180 degrees, just like this one.

Have a great day!

5 0
3 years ago
Please help would be appreciated
yKpoI14uk [10]

Answer:

The total volume of the whole figure is 576m³.

Step-by-step explanation:

First find the volume for the first figure.

Volume of a Rectangular Prism (formula): L•W•H

V = (15m)(12m)(2m)

V = 360m³

Now, find the volume for the second figure.

V = (6m)(12m)(3m)

V = 216m³

Finally, just add both volumes to find the total volume of the entire figure.

Vt = 216m³ + 360m³

Vt = 576m³

5 0
3 years ago
Could you make a 3D design using at least seven different laterals?
DiKsa [7]

Yes. Because blah blah  blas blah blah blah

XD

4 0
3 years ago
Write the fraction 4 and 3/8 as a decimal.
erica [24]

Answer:

4.375

Step-by-step explanation:

Convert.

4 = 4.

3/8 = .375

4 + .375 = 4.375.

8 0
3 years ago
Read 2 more answers
Other questions:
  • In the figure, PMQ, PNR, MOR and NOQ are straight lines. It is given that  △PQN ≅ △PRM. Find x and y.​
    12·1 answer
  • a baker uses 5.5 pounds of flour daily , how many ounces of flour will he use in two weeks use words numbers or pictures
    9·2 answers
  • the formula to find the period of orbit a satellite around a planet is T^2=(4pi^2/GM)r^3 where r is the orbits mean radius. If y
    7·1 answer
  • I need help on #12 please
    14·1 answer
  • I have to turn that into the simplest form
    10·2 answers
  • Lucia is making invisibility potions. Each potion requires 22 eyes of newt. How many invisibility potion Lucia is making invisib
    10·1 answer
  • How do I write a expression for the sequence in the table? Answer fasts plzz
    8·1 answer
  • A triangle with sides of 14 15 and 29 does it form a right triangle 
    7·2 answers
  • The food bank has 1774.4 oz of chicken.If 12.6 oz is 2 servings,how many servings of chicken does this provide?
    7·1 answer
  • Please help with this!!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!