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
svp [43]
3 years ago
6

If you can solve all parts I will give brainliest (also give strategy)

Mathematics
1 answer:
Alexxx [7]3 years ago
4 0

The Halloween conical hat, with given height, circular base and brim

extension has the following calculated parameters;

Part a. The slant height is <u>18.2 inches</u>

Part b. The volume of the cone is 37\frac{1}{2}  \cdot \pi in.³

Part c. The area of the brim, <em>A</em> = <u>36·π in.²</u>

Part d. The area of the brim is found by <u>subtracting the area of the base of the cone from the area covered by the perimeter of the brim</u>

Reasons:

Known parameters;

Height of the conical portion, h = 18 inches

Base circumference, C = 5·π inches

Part a. Slant height of the conical portion; Required

Solution:

The circumference of a circle, C = 2·π·r

Therefore;

r = \dfrac{C}{2 \cdot \pi}

Which gives;

r = \dfrac{5 \cdot \pi}{2 \cdot \pi} = \dfrac{5}{2} = 2.5

Radius, r = 2.5 inches

According to Pythagoras's theorem, we have; s² = r² + h²

Where;

s = The slant height of the cone

s² = 2.5² + 18² = 330.25

s = √(330.25) ≈ 18.2

  • The slant height, <em>s</em> ≈ <u>18.2 inches</u>

Part b. The measure in cubic inches of candy that exactly fills the conical portion of the hat is the volume of the cone.

Volume \ of \ a \ cone = \dfrac{1}{3} \cdot \pi \cdot r^2 \cdot h

Therefore;

V = \dfrac{1}{3} \times \pi \times 2.5^2 \times  18 = 37\frac{1}{2}  \cdot \pi

  • The volume of the cone, V = 37\frac{1}{2}·π in.³

Part c. The extension of the brim from the base of the cone = 4 inches

The radius of the brim, R = Radius of the base of the cone + 4 inches

∴ <em>R</em> = 2.5 inches + 4 inches = 6.5 inches

Area of the brim, <em>A</em> = Area of the 6.5 inch circle - Area of the circular base of the cone

∴ A = π × 6.5² - π × 2.5² = 36·π

  • The area of the brim, <em>A</em> = <u>36·π in.²</u>

Part d. The procedure for solving the question in part c, is described as follows;

  • The area of the brim can be found by finding the entire area of the circle formed by the perimeter of the brim, then subtracting the area of the base of the cone from that area.

Learn more here:

brainly.com/question/17023854

You might be interested in
What value of b with cause the system to have an infinite number of solutions?
Rom4ik [11]

Step-by-step explanation:

-3x+3x-(b÷2)=-3

0-(b÷2)=-3

-(b÷2)=-3

b=-2×-3=+6

=> b=6

5 0
3 years ago
Is 2×3×4the prime factorization of 24 Explain you reasoning​
Elden [556K]

Answer:

see the prime factors

Step-by-step explanation:

24= 6*4=3*2*2*2

=2*3*4

6 0
3 years ago
Read 2 more answers
A line passes through the points (7, 10) and (7, 20). Which statement is true about the line?
saul85 [17]
It has no slope 
a vertical line 
x=7


4 0
3 years ago
Read 2 more answers
9/4 is between what two numbers
Debora [2.8K]
9/4 is between 2 and 3
3 0
3 years ago
A children's pool contains 17,500 milliliters. How many liters are in the pool
LiRa [457]

Answer:

17.5 L

Step-by-step explanation:

There are 17.5 Liters in 17,500 ML.

Hope this helps!

Plz Mark Brainliest!

4 0
2 years ago
Read 2 more answers
Other questions:
  • Multi -step equation with integers solve for this equation 2x+x=-21
    13·1 answer
  • Order the numbers from least to greatest. −1.4,−85, 0.6,−0.9, 14
    10·2 answers
  • How many square numbers are there between 1,000 and 2,000? What is a square number?
    8·1 answer
  • A coffee grinder can grind 1.4 pounds of coffee in one minute.Which model below best represents the number of pounds of coffee i
    11·1 answer
  • The mass of an object is equal to the product of the objects density and volume. The density of copper is 8.94 grams per cubic c
    6·1 answer
  • Which expression is equivalent to the expression shown?<br> 4² x 4⁴
    9·1 answer
  • Explain why the equation is not linear 2x^2+y=7
    9·1 answer
  • What is binomial expansion
    5·2 answers
  • Text Jim Belushi Lanka Lanka ​
    6·1 answer
  • I need an opinion, my other note is in anouther question. what do y'all think.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!