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mash [69]
2 years ago
9

Find the following, giving your answers

Mathematics
1 answer:
stellarik [79]2 years ago
4 0

Answer:

  a) 301.6 cm³

  b) 188.5 cm²

Step-by-step explanation:

The volume and lateral surface area of the cone can be found using the given dimensions with the given formulas. All that is needed is to substitute the appropriate values and do the arithmetic.

__

<h3>a) volume</h3>

The volume is given by the formula ...

  V = 1/3πr²h

The dimensions are given on the diagram: r = 6 cm, h = 8 cm. Using these values in the formula, we find the volume to be ...

  V = 1/3π(6 cm)²(8 cm) = 96π cm³ ≈ 301.6 cm³

The volume of the cone is about 301.6 cm³.

__

<h3>b) area</h3>

The lateral area of the cone is given by the formula ...

  A = πrl

The dimensions are given on the diagram: r = 6 cm, l = 10 cm (the slant height). Using these values in the formula, we find the area to be ...

  A = π(6 cm)(10 cm) = 60π cm² ≈ 188.5 cm²

The area of the curved surface is about 188.5 cm².

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Think about all of the ways in which a circle and a parabola can intersect.
xeze [42]

There will be four ways a circle and a parabola can intersect because the solution of the quartic equation will be 4.

<h3>What is a circle?</h3>

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have a circle and a parabola:

As we know the standard form of a circle:

\rm (x-h)^2 +(y-k)^2=r^2

The standard form of the parabola:

\rm y = a(x-h)^2+k  

If we plug the value of y from the parabola equation in the circle equation, we get a quartic equation(4th order equation)

The solution of the quartic equation will be 4.

Thus, there will be four ways a circle and a parabola can intersect because the solution of the quartic equation will be 4.

Learn more about circle here:

brainly.com/question/11833983

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7 0
2 years ago
2/3 of a plot is garden.1/5 of the garden is lawn find the fraction of the plot of land that is lawn
Marina CMI [18]

Answer:

2/3 + 1/5 = 13/15

Step-by-step explanation:

5 0
3 years ago
If 50 bicycles cost $100.50, then how many bicycles could you get for $45?
8_murik_8 [283]
Answer


22 WHOLE bicycles


Step by step explanation

If you divide 100.50 by 50 you get how much it cost for each bicycle which is 2.01 and when you divided 45 by 2.01 you get 22 and a bunch of random numbers but you can’t get that part of a bicycle because you are not going to cut a bicycle into pieces so you will be able to buy 22 and you will have some left over money but that doesn’t matter you can get 22 whole bicycle with 45 dollars
5 0
3 years ago
Read 2 more answers
If d varies directly as t and d = 20.5 when t=12 find:
Fed [463]

Answer:

B or c but im sure its B

Step-by-step explanation:

just did this answer!

3 0
3 years ago
Suppose the area of a circle is 4π. What is its diameter?
mart [117]
Area=pi times radius^2 so

if area=4pi=pi times r^2
4 times pi=r^2 times pi
divide both sdies by pi
4=r^2
square root
2=radius since legnth cannot be negative

radius=1/2 diamters
2 radius=diameter
2(2)=diameter=4
diameter=4
6 0
3 years ago
Read 2 more answers
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