Given: R=2m KL = LM = KM
Find: V and
Surface Area of the cone

Answers

Answer 1

Answer:

Answer:

The volume of the cone is 3π≈9.42.

The surface area of the cone is 9π≈28.27.

Step-by-step explanation:

If we make a section of the sphere and the cone, we have a equilateral triangle inscribed in a circle (see picture attached).

We only know the numerical value of the radius R, that is 2 m.

From the picture, we have

$\bar{KM}=2\cdot R\cdot cos(30^(\circ))=2R(√(3))/(2)=√(3)R= 2√(3)$

The radius of the base of the cone is

$r=\bar{KO}=\bar {KM}/2=(2√(3))/2=√(3)$

The height of the cone can be calculated as:

$h=\bar{LO}=\bar{KL}\cdot cos(30^(\circ))=(2√(3))*(√(3)/2})=3$

The volume of the cone can be calculated as:

$V=(1)/(3)\pi r^2h=(1)/(3)\pi (√(3))^2*3=3\pi\approx9.42$

The surface area of the cone is:

$S=S_(base)+S_(face)=\pi r^2+\pi r l=\pi r^2+\pi r (\bar{KL})\n\nS=\pi(√(3))^2+\pi √(3)*2√(3)=3\pi+2\pi*3=(3+6)\pi=9\pi\approx 28.27$

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What are the solutions of this quadratic equation?
x2 − 10x = -34

Answers

The roots of the equation are imaginary numbers, 5+6i, 5-6i.

What is a Quadratic Equation?

A quadratic equation is what can be written in the form of ax²+bx+c=0

The quadratic equation is

x² -10x = -34

x² -10x +34 = 0

The roots formula for a quadratic equation is given by

$x = ( -b \pm √(b^2 -4ac))/(2a)$

Here a = 1

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The roots of the equation are

$x = ( 10 \pm √((-10)^2 -4*34))/(2)$

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Here it is, step by step:

x^2 - 10x = -34
x^2 - 10x + 34 = 0
We cannot easily factor anything, so we resort to the quadratic equation. The work is attached as an image.

Line A y= 2x + 3 is parallel to another line B, what is the slope of the line B?

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Answer:

Step-by-step explanation:

Since the lines are parallel, then the slope of line B would be the same as line A.

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18% of the cars in the parking lot are blue.If there are 150 cars in the parking lot,how many cars are blue

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Answer:

Step-by-step explanation:

A manufacturing company has two assembly lines, one with old equipment andone with new. The old assembly line generates products at a rate of 48 per hour,
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Answers

Using unitary method, the manufacturing company will take 1 hour 40 minutes to create a total of 180 products.

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Answer:

the first one would take 3 hours and 45 mins to make 180 by itself

the second one would take 3 hours to make 180 by its self

if this ant the answer let me know

Find the value of x, show your steps

Answers

Answer:

Step-by-step explanation:

To find the value of x in the equation 16 + 2x - 6 = H, we need to isolate the variable x on one side of the equation. Let's go step-by-step:

1. Start by combining like terms on the left side of the equation:

16 + 2x - 6 = H

Simplify: 16 - 6 + 2x = H

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2. Next, we want to isolate the term with x. In this case, we want to get rid of the constant term 10. To do this, we'll subtract 10 from both sides of the equation:

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