A conical paper cup has dimensions as shown in the diagram. How much water can the cup hold when full?
2 answers:
<span> By definition, the volume of a cone is given by:
</span>
<span> Where,
r: radius of the circular base of the cone.
h: cone height
The cone radius is given by:
</span>
<span> Where,
d: diameter of the circular base.
Substituting values we have:
</span>
<span>
Then, the volume will be:
</span>
<span>
Answer:
The volume of the cone is given by:
</span>
<span>
</span>
</span>
<span> Where,
r: radius of the circular base of the cone.
h: cone height
The cone radius is given by:
</span>
<span> Where,
d: diameter of the circular base.
Substituting values we have:
</span>
Then, the volume will be:
</span>
Answer:
The volume of the cone is given by:
</span>
</span>
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9514 1404 393
Answer:
5) 729, an=3^n, a[1]=3; a[n]=3·a[n-1]
6) 1792, an=7(4^(n-1)), a[1]=7; a[n]=4·a[n-1]
Step-by-step explanation:
The next term of a geometric sequence is the last term multiplied by the common ratio. (This is the basis of the recursive formula.)
The Explicit Rule is ...
for first term a₁ and common ratio r.
The Recursive Rule is ...
a[1] = a₁
a[n] = r·a[n-1]
__
5. First term is a₁ = 3; common ratio is r = 9/3 = 3.
Next term: 243×3 = 729
Explicit rule: an = 3·3^(n-1) = 3^n
Recursive rule: a[1] = 3; a[n] = 3·a[n-1]
__
6. First term is a₁ = 7; common ratio is r = 28/7 = 4.
Next term: 448×4 = 1792
Explicit rule: an = 7·4^(n-1)
Recursive rule: a[1] = 7; a[n] = 4·a[n-1]
Answer:
B
Step-by-step explanation:
Well since it is arthimetic sequence we know the formula
We know d is difference between second term and first so it will be -5- (-12)= -5+12= 7
the domain of this is 1,2,3,4.......
range is -12,-5,2,9.......
Therefore answer is B.