The figure shown below illustrates the problem.
The volume of the empty cone is
V₁ = (1/3) π r²h
The volume of the sphere is
V₂ = (4/3) π r³
Because the melted ice cream completely fills the cone, therefore
V₁ = V₂
(1/3) π r² h = (4/3) π r³
Divide each side by (1/3) π r².
h = 4r
Answer:
The height of the cone is 4 times greater than the radius f the cone.
If these are in mixed fraction then they are in these following fractions:
a. 1 277/1000
b. 3 7/10
c. 2 43/100
d. 1 156/1000
This is just simple, you just have to times the denominator to the whole number and add it to the numerator. You will get the same answer as the given.
Answer:
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Let, the cost of a belt = x
cost of a wallet = y
Then, system of equations would be:
x + y = 42
7x + 4y = 213
Multiply 1st equation by 4,
4x + 4y = 168
Substitute it from 2nd equation,
3x = 45
x = 15
Now, substitute it in 1st equation,
15 + y = 42
y = 42 - 15 = 27
In short, Belt costs $15 and wallet costs $27
Hope this helps!
Answer:
Step-by-step explanation:
The equation is:
√b+20 - √b = 5
The first step is we will add √b to both sides:
√b+20 -√b +√b = 5 +√b
√b+20 = 5+√b
Now take square at both sides:
(√b+20)^2 = (5+√b)^2
b+20 = 25+10√b+b
Now combine the like terms:
b+20-25-b=10√b
-5 = 10√b
Divide both the terms by 10
-5/10 = 10√b/10
-1/2=√b
Take square at both sides:
(-1/2)^2 = (√b)^2
1/4 = b
So in this type of question we add radical terms to both sides and square both sides twice....
