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aniked [119]
3 years ago
12

The volume, V, of the right circular cone with radius r and height h, shown below, can be found using the formula V = one-thirdp

i r2h. A cone-shaped paper cup has a volume of 142 cubic centimeters and a height of 8.5 centimeters. What is the radius, to the nearest centimeter, of the paper cup?

Mathematics
1 answer:
djyliett [7]3 years ago
7 0
V= 1/3π*r^2*h
⇒ 142 cm^(2)= 1/3π*r^(2)*(8.5 cm)
⇒ ...
⇒ r= 3.994.

Rounded to the nearest centimeter, the final answer is 4 cm.

Hope this helps~
You might be interested in
Halla el área de un triángulo equilátero de 54 cm de perímetros
adoni [48]

Answer:

Area of equilateral triangle = 81√3 cm²

Step-by-step explanation:

Given:

Perimeter of an equilateral triangle = 54 cm

Find:

Area of equilateral triangle

Computation:

Perimeter of an equilateral triangle = 3 x Side

54 = 3 x Side

Side of equilateral triangle = 54 / 3

Side of equilateral triangle = 18 cm

Area of equilateral triangle = [√3/4]side²

Area of equilateral triangle = [√3/4][18]²

Area of equilateral triangle = [√3/4][324]

Area of equilateral triangle = [√3][81]

Area of equilateral triangle = 81√3 cm²

5 0
3 years ago
If the probability of surviving a head on car accident at 55 mph is 0.097, then what is the probability of not surviving
BabaBlast [244]

The probability of not surviving a head-on car accident is: 0.903

Step-by-step explanation:

The probabilities of occurrence and non-occurrence of an event add up to one.

If p is the probability that an even will happen and q is the probability that it will not happen

Then

p+q=1

Here,

Probability of surviving = p = 0.097

Probability of not surviving = q = ?

0.097 + q = 1\\q = 1 - 0.097\\q = 0.903

The probability of not surviving a head-on car accident is: 0.903

Keywords: Probability, Inverse

Learn more about probability at:

  • brainly.com/question/4460262
  • brainly.com/question/4464845

#LearnwithBrainly

5 0
3 years ago
Kelly buys a sweater for $16.79 and a pair of pants for $28.49. She pays with a $50 dollar bill. How much change should kelly ge
Furkat [3]

Answer:

$4.72

Step-by-step explanation:

16.79+28.49=45.28

50-45.28=4.72

5 0
3 years ago
Divide the sum of 3/8 and -5/12 by the reciprocal of 16/27 x(-15)/8
Travka [436]

Answer:

First find the sum of 3/8 and -5/12

That is

3/8 - 5/12

First find the common denominator

The common denominator is 24

We get

3/8 - 5/12 = 3(3) - 5(2) / 24

= 9 - 10 / 24

= - 1 / 24

Next find the product of 16/27 x(-15)/8

That's

16/27 × -15/8

= -10/9

Next reverse -10/9

Which is -9/10

Next we divide it by = -1 /24

so we get

-1/24 ÷ -9/10

Change the sign to (×) and reverse the second fraction

We get

-1/24 × -10/9

= 5 / 108

Hope this helps

4 0
3 years ago
Classify each function as even, odd, or neither even nor odd.
drek231 [11]

The function

f(x) is even

g(x) is neither even nor odd

h(x) is odd

Steps:

for an even function it holds that f(-x) = f(x):

f(-x) = (-1)^6 x^6  - (-1)^4 x^ 4 = x^6 - x^4 = f(x) => f is even

for an odd h(x) it holds that h(-x) = -h(x):

h(-x) = (-1)^5x^5-(-1)^3x^3 = -(x^5-x^3) = -h(x) \implies h(x)\,\, \mbox{even}

It is easy to show that g(x) does not match any of the two possibilities above.


8 0
3 years ago
Read 2 more answers
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