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2 years ago

Find the volume of a cone with a height of 9 cm and a base of 5 cm

Mathematics

2 answers:

dlinn [17]2 years ago

6 0

Answer:

15 cm³

Step-by-step explanation:

The formula for the volume of a cone is:

V = πr²h /3

where r is the radius and h is the height

Let's substitute the given values into this equation:

V = πr²h /3

(Remember that the base of a cone is a circle and the formula for the area of a circle is πr²)

V = πr²h /3

V = (5)(9/3)

Solve:

V = (5)(9/3)

V = (5)(3)

V = 15

Therefore, the volume of the cone is 15 cubic centimeters.

Vilka [71]2 years ago

3 0

Answer:

V=πr2h

Step-by-step explanation:

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Find the area of a regular octagon with side length 4 cm.

Degger [83]

A = side^2 * (2 + 2sqrt2))
A = 4^2 * (2 + 2sqrt2))
A = 77.25 cm^2

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3 years ago

This question has three parts. Answer the parts in order.

nalin [4]

Answer:

The area of the smallest section is $A_{1}=100yd^{2}$

The area of the largest section is $A_{2}=625yd^{2}$

The area of the remaining section is $A_{3}=250yd^{2}$

Step-by-step explanation:

Please see the picture below.

1. First we are going to name the side of the larger square as x.

As the third section shares a side with the larger square and the four sides of a square are equal, we have the following:

- Area of the first section:

$A_{1}=10yd*10yd$

$A_{1}=100yd^{2}$

- Area of the second section:

$A_{2}=x^{2}$ (Eq.1)

- Area of the third section:

$A_{3}=width*length$

$A_{3}=10yd*x$ (Eq.2)

2. The problem says that the total area of the enclosed field is 975 square yards, and looking at the picture below, we have:

$A_{1}+A_{2}+A_{3}=975yd^{2}$

Replacing values:

$100+x^{2}+10x=975$

Solving for x:

$x^{2}+10x-875=0$

$x=\frac{-10+\sqrt{100+(4*875)}}{2}$

$x=\frac{-10+\sqrt{3600}}{2}$

$x=\frac{-10+60}{2}$

$x=25$

3. Replacing the value of x in Eq.1 and Eq.2:

- From Eq.1:

$A_{2}=25^{2}$

$A_{2}=625yd^{2}$

- From Eq.2:

$A_{3}=10*25$

$A_{3}=250yd^{2}$

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3 years ago

PART A 3 less than half a number is 10 Write an expression to represent this situation.

Ivan

Answer:

n/2 - 3 = 10 represents this situation

Step-by-step explanation:

Let the number be n. Then:

n/2 - 3 = 10 represents this situation.

5 0

3 years ago

Read 2 more answers

I have 120 cm of framing material to make a picture frame, which will be most pleasing to the eye if its height is 2/3 of its wi

Ilia_Sergeevich [38]

The formula for perimeter is:

P = 2 h + 2 w

where P is perimeter = 120 cm, h is height, w is width

we are also given that: h = (2/3) w, therefore:

P = 2 (2/3) w + 2 w = 120

(4/3) w + 2 w = 120

w = 36 cm

Therefore l is:

l = (2/3) w = 24 cm

Hence the dimension should be 24cm by 36 cm

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3 years ago

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valkas [14]

Answer:

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Step-by-step explanation:

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2 years ago