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4 years ago

30π cm3 35π cm3 40π cm3 45π cm3

Mathematics

2 answers:

dezoksy [38]4 years ago

8 0

In this question, the volume of the cone is needed. The equation used to determine the volume of the cone is (1/3)π(r²)h
To solve for the volume,
V = (1/3)π(3²)(10)
= (1/3)(9)(10)π
= (3)(10)π
= 30π cm³
The correct answer is the first option which is 30π cm³.

Ahat [919]4 years ago

4 0

Answer: A. 30π cm3

Step-by-step explanation:

The equation for cones

V = (1/3) π * r² * h

Plug in the numbers r = radius which is half of the diameter and h = height. Also leave out π because of the answer choices.

so... (1/3) * 3² * 10 = 30

30π

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Pls help! Pls do this step by step . <br>factorise: <br>m^3-27

Verdich [7]

Answer:

m-3

Step-by-step explanation:

cube root the two to get m-3

7 0

3 years ago

Help pleaseeeeeeee!!!

Kamila [148]

Answer:

B or the second option

Step-by-step explanation:

the rules of math state that you must not have a square root in the denominator so in order to get rid of it multiply the top and bottom by the square root on the bottom. Any square root times itself takes away the square root symbol

6 0

3 years ago

A rectangular box has a volume x^3-64 cubic inches. If the height of the box x-4 inches, what is the area of the base of the box

Zanzabum

Answer:

$\purple{ \bold{ \therefore \: A_{base} = {x}^{2} + 4x + 16}}$

Step-by-step explanation:

$\because \: V_{box} = A_{base} \times height \\ \\ \therefore \: A_{base} = \frac{V_{box}}{height} \\ \\ \therefore \: A_{base} = \frac{ {x}^{3} - 64}{(x - 4)} \\ \\ \therefore \: A_{base} = \frac{ {x}^{3} - {4}^{3} }{(x - 4)} \\ \\ \therefore \: A_{base} = \frac{ \cancel{ ({x} - {4})}( {x}^{2} + 4x + {4}^{2} )}{\cancel{ ({x} - {4})}} \\ \\ \purple{ \bold{ \therefore \: A_{base} = {x}^{2} + 4x + 16}}$

8 0

3 years ago

A survey of several 9 to 11 year olds recorded the following amounts spent on a trip to the mall: $23.71,$17.79,$29.87,$18.78,$2

wolverine [178]

Answer:

(16.904 ; 30.660)

Step-by-step explanation:

Given the data :

X = 23.71,17.79,29.87,18.78,28.76

Sample size = 5

Mean = (23.71+17.79+29.87+18.78,+28.76) / 5 = 23.782

Using a calculator, sample standard deviation :

Standard deviation, s = 5.54

Tcritical at α = 0.05, df = 5 - 1 = 4

Using tables ; Tcritical value = 2.7763

Confidence interval :

Mean ± Margin of Error

Margin of Error (MOE) = Tcritical * SE

Margin of Error = Tcritical * s/sqrt (n)

MOE = 2.7763 * 5.54/Sqrt(5) = 6.878

Confidence interval : 23.782 ± 6.878

Lower boundary : 23.782 - 6.878 = 16.904

Upper boundary = 23.782 + 6.878 = 30.66

(16.904 ; 30.660)

7 0

3 years ago

Which of the following is the correct factorization of the polynomial below?

Alika [10]

they easiest way to find the right answer is to look at the 2 first terms and checking if they equal 64x³

doing so:

48x³+...

64x³+...

9x³-48x³+...

= -39x³+...

-> the answer should be B, to make sure this is the right answer, you can just solve B

(4x+3)(16x²-12x+9)

= 64x³- 48x²+36x+48x²-36x+27

= 64x³+27

-> answer B is correct

8 0

2 years ago