Find the length of Vzx in C.
1 answer:
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Answer:sorry for the delate
Step-by-step explanation:
For any sort of pyramid or cone, the volume is 1/3 of the volume of a prism with the same base and height. Since the volume of a prism/cylinder is 
, the volume of a pyramid/cone is 
.
In this case, our base is a circle, which has a radius of 4 cm.
The area of a circle is
where r is the radius.
We now know that our base is 16π cm.
We also know that our height is 9 cm.
Let's plug these into our volume formula.
Use 3.14 to approximate pi as the question states. 16 × 3.14 = 50.24.
We could punch all of that into our calculator to get the same answer, but since 1/3 of 9 is clearly 3, let's just go with that.
In this case, our base is a circle, which has a radius of 4 cm.
The area of a circle is
We now know that our base is 16π cm.
We also know that our height is 9 cm.
Let's plug these into our volume formula.
Use 3.14 to approximate pi as the question states. 16 × 3.14 = 50.24.
We could punch all of that into our calculator to get the same answer, but since 1/3 of 9 is clearly 3, let's just go with that.
Lets get started :)
The First question:
Diameter = 20 ft
Radius =
of 20 (diameter) = 20 ft
Area formula of a circle is
A =
r²
=(10)²
=100 ft²
≈ 314 ft²
The answer will be the second option
The Second question:
radius of circle = 12mm divided into 20 sectors area
A =r²
=(12)²
= 144 ft²
Divide into 20 equal sector areas =
≈ 22.6 mm²
Your answer will be the third option
The Third Question:
90°, sector area = 36 , Radius = ?
and cancels out
We can now cross multiply
360 × 36 = 90r²
12960 = 90r²
Divide by 90 on either side
144 = r²
Take squareroot
x = 12 in
Your answer will be the third option
The First question:
Diameter = 20 ft
Radius =
Area formula of a circle is
A =
=
=100
≈ 314 ft²
The answer will be the second option
The Second question:
radius of circle = 12mm divided into 20 sectors area
A =
=
= 144
Divide into 20 equal sector areas =
≈ 22.6 mm²
Your answer will be the third option
The Third Question:
90°, sector area = 36
We can now cross multiply
360 × 36 = 90r²
12960 = 90r²
Divide by 90 on either side
144 = r²
Take squareroot
x = 12 in
Your answer will be the third option