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
Dovator [93]
3 years ago
6

A conical cup is made from a circular piece of paper with radius 4 cm by cutting out a sector and joining the edges as shown bel

ow. Suppose θ = 3π/2.Find the volume V of the cup.

Mathematics
1 answer:
a_sh-v [17]3 years ago
4 0

Answer:

  V = 3π√7 cm³ ≈ 24.94 cm³

Step-by-step explanation:

The radius of the finished cone can be found from the circumference of the finished cone, which is 3/4 of the circumference of the original paper circle.

  Ccone = (3/4)Ccircle = (3/4)(2π(4 cm)) = 6π cm

This is related to the cone radius (x) by ...

  Ccone = 2πx = 6π cm

  x = 3 cm . . . . . . . . . 3/4 of the circle's radius

The height of the cone is given by the Pythagorean theorem:

  (4 cm)² = h² + x²

  h² = (4 cm)² -(3 cm)² = (16 -9) cm²

  h = √7 cm

Now, we can use the formula for the volume of a cone:

  V = (1/3)πr²h

  = (1/3)π(3 cm)²(√7 cm)

  V = 3π√7 cm³ ≈ 24.94 cm³

You might be interested in
You bought a car that was $25500 and the value depreciates by 4.5% each year.
nikklg [1K]

Answer:

(a) 20256.15625

(b) 17642.78546

Step-by-step explanation:

(a) There's a formula for this problem y = A(d)^t where, A is the initial value you are given, d is the growth or decay rate and t is the time period. So, in this case, as the car cost is decreasing it is a decay problem and we can write the formula as such; y = A(1-R)^t

So, in 5 years the car will be worth, 25500(1-4.5%)^5 or 20256.15625 dollars

(b) And after 8 years the car will be worth 25500(1-4.5%)^8 or 17642.78546 dollars.

7 0
2 years ago
Which decimal number is equal to 318 ? 0.167 0.16¯ 0.16¯¯¯¯ 0.167¯¯¯¯¯
skad [1K]

Answer:

3/18 = 1/6 =.16666666.....

.16(would be repeating)

your choice D and A are the same, and choice C and B are the same!

hope this helps!

7 0
3 years ago
Find the midpoint of the segment with the following endpoints.<br> (-10, 2) and (-5, -1)
Dafna11 [192]

Answer:

(4, 5)

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
10 + 2 = 12 12 − 2 = 10 What are these operations called? Transverse operations Reverse operations Divided operations Inverse op
jeka57 [31]
Inverse operations are operations that undo each other. 
In this case, 10 + 2 = 12, and 12 - 2 = 10 
A multiplication example could be 4 x 2 = 8, and 8 ÷ 2 = 4

Answer is inverse operations. 
3 0
2 years ago
Read 2 more answers
What order does those chooses go based off the questions?
Karolina [17]

Answer:


Step-by-step explanation:

its 13

4 0
3 years ago
Other questions:
  • 15 more than 3 times a number is at most 7
    7·1 answer
  • How to find which cereal has the higher ratio of protein
    12·1 answer
  • How do I find the volume of this shape
    10·1 answer
  • Answer this fast and I’ll make you Brainly
    13·1 answer
  • How many seconds equals 4.2 hours?<br><br> Enter your answer in the box.<br><br> ___s
    14·2 answers
  • Dwayne and 3 of his friends go on a carnival ride that can seat 4 people from front to back. they only go on the ride once, but
    5·1 answer
  • Urgent help!<br><br> refer to photo
    13·1 answer
  • Suppose f(x) = 3x2 – 2x: Find f(-4). А B -40 ОО C 56<br>plz helpp​
    6·1 answer
  • A bus leaves Dhaka on Saturday night and is supposed to arrive at Cox’s Bazar at 08 17
    10·1 answer
  • 1. Keira earns $11.50 for each hour she babysits. The amount of depends on how many 1.50x ig Dependent variable: Independent var
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!