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3 years ago

What is the surface area of the cone? (Use 3.14 for π.)

Mathematics

2 answers:

aev [14]3 years ago

4 0

Answer: 117.226666667 cm^3

Step-by-step explanation:

So, we all know the formula for working out the volume of a cone is

V= 1/3πr^2h

V = 1÷3 x 3.14 × r^2 x h

The radius is half the diameter. Your diameter is 8 so the radius would be 4. And 7 is your height by the way.

So let's plot it all in!

V= 1÷3 x 3.14 × 4^2 x 7

V = 117.226666667cm^3

Round to the nearest 10 = 117.2cm^3

To the nearest 100 = 117.23cm^3

To the nearest whole number = 117cm^3

frozen [14]3 years ago

3 0

Answer:

Surface area = 87.92 Sq Inch and Total surface area =138.16 Sq Inches

Step-by-step explanation:

Here we are required to find the surface area of a cone, The formula of surface area of a cone is given as under

r=4

l = 7

$S_{s}=\pi*r*l$

$S_{s}=3.14*4*7$

$S_{s}=87.92$

Also the total surface area is given as

$T_{s}=\pi*r^{2} + \pi*r*l$

We are given

Now we put the values of r and l in main formula

$s=\pi*4^{2} + \pi*4*7\\s=3.14*16+3.14*28\\s=50.24+87.95\\s=138.16$

Hence the Surface area is 87.92 sq inches and Total surface area of the cone is 138.16

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Drupady [299]

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Explanation:

Definition of a Rectangle:

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Also, opposite sides are parallel and of equal length.

Definition of a Square:

A 4-sided flat shape with straight sides where all interior angles are right angles (90°).

Also, all sides have equal length

As you can see the first part of the definition of a square and rectangle are the same.

However, a square is a special case of a rectangle.

When all 4 sides of a rectangle are equal then the rectangle is a square.

So, a rectangle can also sometimes be a square.

Step-by-step explanation:

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3 years ago

The perimeter of a triangle is 53 feet. One side of the triangle is 12 feet shorter than the second side. The third side is is 4

grandymaker [24]

Let the shortest side be = a, then side b = 2·a and side c = (b + 24)

We are given that a + b + c = 84

Substituting for b and c

a + 2·a + (a + 24) = 84

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a = 60/4 = 15 feet

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c = 15 + 24 = 39 feet

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3 years ago

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zysi [14]

Answer:

Q and S do not equal 0.

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Step 3: Simplify the rational expression. ...

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Step-by-step explanation:

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4 years ago

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Serhud [2]

Answer:

x = 5

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3 years ago

A surveyor leaves her base camp and drives 42km on a bearing of 032degree she then drives 28km on a bearing of 154degree,how far

ValentinkaMS [17]

Answer:

The surveyor is 36.076 kilometers far from her camp and her bearing is 16.840° (standard form).

Step-by-step explanation:

The final position of the surveyor is represented by the following vectorial sum:

$\vec r = \vec r_{1} + \vec r_{2} + \vec r_{3}$ (1)

And this formula is expanded by definition of vectors in rectangular and polar form:

$(x,y) = r_{1}\cdot (\cos \theta_{1}, \sin \theta_{1}) + r_{2}\cdot (\cos \theta_{2}, \sin \theta_{2})$ (1b)

Where:

$x, y$ - Resulting coordinates of the final position of the surveyor with respect to origin, in kilometers.

$r_{1}, r_{2}$ - Length of each vector, in kilometers.

$\theta_{1}, \theta_{2}$ - Bearing of each vector in standard position, in sexagesimal degrees.

If we know that $r_{1} = 42\,km$ , $r_{2} = 28\,km$ , $\theta_{1} = 32^{\circ}$ and $\theta_{2} = 154^{\circ}$ , then the resulting coordinates of the final position of the surveyor is: