Note: I'm assuming that your teacher wants you to use the approximation pi = 3.14
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Problem 1)
Plug the value r = 4.5 into the formula below to find the approximate volume
V = (4/3)*pi*r^3
V = (4/3)*pi*(4.5)^3
V = (4/3)*pi*91.125
V = (4/3)*91.125*pi
V = 121.5*pi
V = 121.5*(3.14)
V = 381.51
So the approximate volume of this sphere is roughly 381.51 cubic cm
Note: we can write "cubic cm" as "cm^3"
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Problem 2)
The formula to use for the volume of a cylinder is
V = pi*r^2*h
where r is the radius and h is the height
In this case, we have r = 2.1 and h = 8.0
V = pi*r^2*h
V = pi*(2.1)^2*8.0
V = pi*4.41*8.0
V = pi*35.28
V = 35.28*pi
V = 35.28*(3.14)
V = 110.7792
The volume is roughly 110.7792 cubic cm
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Problem 3)
Now we use the formula
V = (1/3)*pi*r^2*h
which is the volume of a cone. Note how this is simply 1/3 the volume of the cylinder (with same radius and height)
Use r = 8.0 and h = 2.0
V = (1/3)*pi*r^2*h
V = (1/3)*pi*(8.0)^2*(2.0)
V = (1/3)*pi*64*2
V = (1/3)*pi*128
V = (1/3)*128*pi
V = (128/3)*pi
V = (128/3)*(3.14)
V = 133.973333
The approximate volume is 133.973333 cubic cm
Adding all the marks and dividing them by the total no. of students to get the average marks.
Avg. marks = (7+8+7+9+6)/5
Avg. marks = 37/5
Avg. marks = 7.4
Answer:
m=1
Step-by-step explanation:
add 6 to both sides, 9=9m
divide 9 on both sides, m=1
We know that:
1 mile = 5280 ft
1 minute = 60 sec
Therefore to convert this we simply use the conversion
factors:
(30 ft / s) * (60 s / 1 min) * (1 mi / 5280 ft) = 0.34 mi
/ min
So we got 0.34 miles per minute.
First take 180-90-85=5 for L angle then we can take tan(85)=ML/6.9, 6.9(tan(85))=ML. So ML=78.87ft. Now we can use Pythagorean theorem to find our KL so KL = sqrt((78.87)^2+(6.9)^2) and we get our answer KL=79.17ft. Hope it helps
