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2 years ago

The equation v=1/3 represents the volume of a cone where r is the radius of the cone

Mathematics

1 answer:

Goryan [66]2 years ago

4 0

The cone has a height value of 7.01 cm

<h3>How to determine the height of the cone using the volume formula?</h3>

From the question, we have the following parameters that can be used in our computation:

Formula: Volume, v = 1/3πr²h

The above formula represents the volume of a cone

Such that

V = Volume; R = Radius and H = Height

Also, we have

Volume, v = 66

Radius, r = 3

Recall that

v = 1/3πr²h

Multiply both sides by 3

So, we have the following equation

3v = πr²h

Divide both sides by πr²

So, we have the following equation

h = 3v/πr²

Substitute 66 for v and 3 for r

So, we have the following representation

h = 3 * 66/(3.14 * 3²)

Evaluate

So, we have the following equation

h = 7.01 cm

Hence, the height of the cone is 7.01 cm

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Step-by-step explanation:

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Mr jones is planning to pant grass and place afence in a small area for his dog. The rectagular dimension are 12×15 feet. The gr

goldenfox [79]

Answer:

A) The total feet needed for the fence total perimeter is 54 feet

B) The total cost of fence is $432

C) The square feet of grass needed foe the total area is 180 square feet

D) The total cost of the project is $572

Step-by-step explanation:

Given as :

The dimension of rectangular field

Length of rectangular field = L = 12 feet

width of rectangular field = w = 15 feet

The cost of grass per square foot = 50 cents = $0.5 ( ∵ 1 cents = $0.01 )

The cost of small fence = $8 per linear foot

Now, According to question

A ) Let The total feet needed for the fence total perimeter = A feet

∵ Perimeter of rectangular field = 2 × Length + 2 × width

Or, A = 2 × L + 2 × w

Or, A = 2 × 12 feet + 2 × 15 feet

Or, A = 24 feet + 30 feet

∴ A = 54 feet

So, The total feet needed for the fence total perimeter = A = 54 feet

B ) Let The total cost of fence = $B

So, The total cost of fence = The cost of small fence × perimeter of fence

i.e B = $8 × 54 feet

∴ B = $432

So,The total cost of fence = B = $432

C) Let the square feet of grass needed foe the total area = C square feet

∵The Area of rectangular fence = Length × width

Or, The square feet of grass needed foe the total area = Area of rectangular fence = L × w

i.e C = 12 feet × 15 feet

Or, C = 180 feet²

So,The square feet of grass needed foe the total area = C = 180 square feet

D) Let The total cost of grass = $D

∵ The cost of grass per square foot = $0.5

So,Total cost of grass = $0.5 × Area of fence

i.e D = $0.5 × 180 feet²

Or, D = $90

So, The Total cost of grass = D = $90

E) Let the total cost of the project = $E

∵Mr. Jones spend additional $50 for tools

So, The total cost of the project = money spent on tools + total cost of fence + Total cost of grass

i.e E = $50 + B + D

Or, E = $50 + $432 + $90

∴ E = $572

So, The total cost of the project = E = $572

Hence,

A) The total feet needed for the fence total perimeter is 54 feet

B) The total cost of fence is $432

C) The square feet of grass needed foe the total area is 180 square feet

D) The total cost of the project is $572 Answer

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4 years ago

Create and evaluate an expression that shows "the quotient of eight raised to the power of two and four, decreased by six."

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3 years ago

If AB vector =(4 5) and PQ vector=(2p 10) are parallel to each other, find the value of p.

Sedaia [141]

Answer:

Answer:

They both have q+3/2p, so that means that 2PQ=CB and that means they are parallel to each other

Step-by-step explanation:

PQ=PA+QA

PQ=1/2(2q-p)+2/5*5p=q-1/2p+2p=q+3/2p

CB=2q+3p=2(q+3/2p)

Other explanation: It should be written like this PQ=q+3/2p and CB=2q+3p=2(q+3/2p) they are parallel bcs CB=2*PQ.

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3 years ago

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Alex17521 [72]

Answer:
y = (3/7) x + (3/14)

Explanation:
The slope-intercept form has the following formula:
y = mx + c
where:
m is the slope
c is the y-intercept

The given is:
6x - 14y = -3

To get in the slope-intercept form, we need to isolate the y as follows:
6x - 14y = -3
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y = (6/14)x + (3/14)
y = (3/7) x + (3/14)

Hope this helps :)

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