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stepladder [879]
4 years ago
10

The figure is made up of a cone and a cylinder.

Mathematics
1 answer:
professor190 [17]4 years ago
4 0

Answer:

38 mm³  

Step-by-step explanation:

Calculate the volume of the cylinder and of the cone separately.

1. Volume of cylinder

The formula for the volume V of a cylinder is

V = πr²h

Data:

D = 4 mm

h = 2 mm

Calculations:

a. Calculate the radius

D = 2r

r = D/2 = 4/2 = 2 mm

b. Calculate the volume

V = 3.14 × 2² × 2 = 25.12 mm³

2. Volume of cone

The volume for the volume (V) of a cone is

V = ⅓πr²h

V = ⅓ × 3.14 × 2² × 3

V = 18.85 mm³

3. Calculate the total volume

V = 25.12 mm³ + 12.57 mm³ = 38 mm³

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A vertical radio tower is 645 feet high above level ground. How far would you need to be from the base of the tower so that the
WITCHER [35]

Answer:

921.165 feet

Step-by-step explanation:

Ok we are looking for the length of the base.

Now let's take the question and picture it as a triangle, we will find out that it looks like a right angle triangle.

The height= 645 feet

Angle of elevation= 35°

Base is unknown

To find the base

We recall that tan of angle

= opposite/adjacent

In this case

Angle= 35°

Opposite= height= 645

Adjacent= base

Tan 35 = 645/adj

Adj =645/tan 35

Adj =645/0.7002

Adj = 921.165

The base is 921.165 feet

8 0
4 years ago
Combine like terms.
Vesna [10]
To combine these terms you would add up the a's and b's.
4a+b+a is the same as 4a+a+b. Anything without a constant in front has a value of 1. You have 4a's and you need to add another a. That equals 5a's. The b is left alone since you can only add like variables.
The answer would be C) 5a +b
5 0
3 years ago
Read 2 more answers
What is the EXACT and APPROXIMATE volume of the cylinder? (I NEED HELP FAST!)
brilliants [131]
Exact is 320 pi

Approx is  1004.8
8 0
4 years ago
Read 2 more answers
Help please. step by step explanation appreciated
olya-2409 [2.1K]

Answer:


Step-by-step explanation:

Are the options just A and B? If so , the answer is B. the volume is the width, length, times height, so 8 times 1 times 3 is 24, and that would fit the answer.

5 0
3 years ago
Read 2 more answers
6n + 9 = -3 - 21 - 6
denis23 [38]
6n+9=-3-21-6
subtract the numbers:-3-21-6=-30
6n+9=-30
subtract 9 from both sides
6n+9-9=-30-9
simplify
6n=-39
divide both sides by 6
\frac{6n}{6}= \frac{-39}{6}
n= \frac{-13}{6}
decimal n=-6.5
Hope this helps :)
3 0
3 years ago
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