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2 years ago

What is the exact volume of this cone?

Mathematics

1 answer:

Studentka2010 [4]2 years ago

5 0

Answer:

(b) 80/3π in³

Step-by-step explanation:

The volume of a circular cone is given by ...

V = 1/3πr²h . . where r is the radius (half the diameter) and h is the height

Your cone has r = 4 inches and h = 5 inches, so its volume is ...

V = (1/3)π(4 in)²(5 in) = 80/3π in³

The volume of the cone is exactly (80/3)π cubic inches.

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The given line passes through the points (0, −3) and (2, 3).

Zolol [24]

Y+2=(x+2) z+3=(y+3) a+4=(z+4)

6 0

3 years ago

Two shops, Lidal and Oldi, sell the same brand of toilet rolls but with different package sizes.

Ugo [173]

Answer:

Oldi is best value

Step-by-step explanation:

Lidal

8 rolls for £3.76

72 rolls for £3.76*9= £33.84

Oldi

9 rolls for £4.14

72 rolls for £4.14*8= £33.12

Oldi offers better price for 72 rolls

5 0

3 years ago

Hii pls help i’ll give you brainliest if you give a correct answer.

GenaCL600 [577]

Answer:

Step-by-step explanation:

How many 3/8 are in 5/4? We can set this number as x. Therre are x number of 3/8 that make up 5/4:

Therefore the PART A is: x* 3/8 = 5/4

On the other hand, 5/4 / 3/8 = x (this is just the reverse of what I mentioned earlier)

I hope this helps! :)

6 0

3 years ago

Find the value of c so that (x+2) is a factor of the polynomial p(x)=3x^4-x^2+cx-2

DedPeter [7]

Using polynomial long division, we get

3x^3+6x^2+11x
_____________
(x+2) | 3x^4-x^2+cx-2
-(3x^4+6x^3)
____________
6x^3-x^2+cx-2
- (6x^3+12x^2)
_____________
11x^2+cx-2
-(11x^2+22x)
__________
(22+c)x-2.

If you're wondering how I did the long division, what I essentially did was get the first value (at the start, it was 3x^4) and divided it by the first value of the divisor (which in x+2 was x) to get 3x^3 in our example. I then subtracted the polynomial by the whole divisor multiplied by, for example, 3x^3 and repeated the process.

For this to be a perfect factor, (x+2)*something must be equal to (22+c)x-2. Focusing on how to cancel out the 2, we have to add 2 to it. To add 2 to it, we have to multiply (x+2) by 1. However, there's a catch, which is that we subtract whatever we multiply (x+2) by, so we have to multiply it by -1 instead. We still need to cross out (22+c)x. Multiplying (x+2) by -1, we get
(-x-2) but by subtracting the whole thing from something means that we have to add -(-x-2)=x+2 to something to get 0. x+2-x-2=0, xo (22+c)x-2 must equal -x-2, meaning that (22+c)=-1 and c=-23

4 0

4 years ago

How do you find the surface area of this figure?

atroni [7]

Answer:

SA=158cm²

Step-by-step explanation:

To find surface area, you find the area for all the surfaces and add them together. Let's start with the red rectangular prism first.

The top has measurements of 5 and 2. The area of that is 10.

The bottom is the same so it's area is also 10 but we don't want to add it since it's not on the surface.

The side facing us has measurements of 4 and 2, the area is 8.

The side opposite to this is the same so it's area is also 8

Now the right face of this shape is 4 and 4 so 16.

The left face will have the same area. It'll also be 16.

The surface area of the red shape is 10+8+8+16+16= 58

Now the orange shape.

The side facing us is 5 and 3 so area=15

The side opposite to this will have the same area.= 15

The right face is also 5 and 3 so 5x3=15

The opposite face to this will also have an area of 15

Now the top face, it's 5 and 5 = 25. We have to subtract the area covered by the red shape. So 25 - 10 = 15

The bottom face's area will be 25.

The surface area of this shape will be : 15+15+15+15+25=100

Now add the areas of both shapes

58+100 = 158

SA=158cm²

Hope this helps :)

4 0

3 years ago