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Anuta_ua [19.1K]
3 years ago
9

Find the volume of the cone to the nearest whole number. Radius is 2 and height is 4

Mathematics
1 answer:
KonstantinChe [14]3 years ago
6 0

Volume of the cone is 17 cm³

Step-by-step explanation:

  • Step 1: Volume of a cone = 1/3 πr²h. Find volume of the cone where r = 2 inches and h = 4 cm.

Volume = 1/3 × 3.14 × 2² × 4

             = 16.75 cm³ ≈ 17 cm³ (rounding off to nearest whole number)

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Evaluate each expression.<br> 6! =<br> 3! - 2!= 1
Lady_Fox [76]

Answer:

6!=720

3! • 2!=12

Step-by-step explanation:

We must recall that the factorial of a number n (positive or zero) is the product of all the integers from n down to 1

n!= n(n-1)(n-2)...1

Let's evaluate the given expressions

6!=6\cdot 5\cdot 4\cdot 3\cdot 2\cdot 1=720

Similarly

3!\cdot 2!=(3\cdot 2\cdot 1)\cdot (2\cdot 1)=6\cdot 2=12

Finally

\displaystyle \frac{6!}{3!}=\frac{6\cdot 5\cdot 4\cdot 3\cdot 2\cdot 1}{3\cdot 2\cdot 1}

\displaystyle \frac{6!}{3!}= \frac{720}{6}=120

3 0
3 years ago
Find the surface area of the prism.<br> 10 ft length<br> 1 ft height<br> 5 ft width
Elenna [48]

Answer:

Surface Area = 130 sq ft

Step-by-step explanation:

If you don't have a picture, draw a picture so you can see what's up. See image. Surface area is the area of all the faces of a 3d shape (a solid) all added up. This solid is a box. It has six faces. Each face is a rectangle. The top and bottom are the same. The front and back are the same. The left and right sides are the same. See image.

Area of a rectangle is:

A = l × w

Area of the top:

5 × 10 = 50

Area of the bottom also 50.

Area of the left side:

1 × 5 = 5

Area of the right side is also 5.

Area of the front:

1 × 10 =10

Area of the back is also 10.

ADD up all 6 areas:

50+50+5+5+10+10

Surface area = 130

Area has square units.

SA = 130 square ft

3 0
2 years ago
2/5k - 3 1/2. K= 15 <br> EVALUATE
katen-ka-za [31]
Exact form
K=-150\31

8 0
3 years ago
Read 2 more answers
Solve quadratic equation (x-3)^2+5=14
laiz [17]

Answer:

the Answer is 14=5+2^(3-x)

Step-by-step explanation:

6 0
3 years ago
Please help :(
tatuchka [14]
Slant height is about 8.544.
Lateral area is about 96.93.
Surface area is about 144.93.
Volume is 96^3.

4 0
3 years ago
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